66606480 has 120 divisors (see below), whose sum is σ = 226711680. Its totient is φ = 17521920.

The previous prime is 66606479. The next prime is 66606481. The reversal of 66606480 is 8460666.

66606480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (66606479) and next prime (66606481).

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (66606481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56295 + ... + 57465.

It is an arithmetic number, because the mean of its divisors is an integer number (1889264).

Almost surely, 2^66606480 is an apocalyptic number.

66606480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66606480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113355840).

66606480 is an abundant number, since it is smaller than the sum of its proper divisors (160105200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66606480 is a wasteful number, since it uses less digits than its factorization.

66606480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 66606480 is about 8161.2793114805. The cubic root of 66606480 is about 405.3580738111.

The spelling of 66606480 in words is "sixty-six million, six hundred six thousand, four hundred eighty".