66456120 has 64 divisors (see below), whose sum is σ = 203627520. Its totient is φ = 17343104.

The previous prime is 66456109. The next prime is 66456151. The reversal of 66456120 is 2165466.

66456120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 252 + ... + 11531.

It is an arithmetic number, because the mean of its divisors is an integer number (3181680).

Almost surely, 2^66456120 is an apocalyptic number.

66456120 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 66456120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101813760).

66456120 is an abundant number, since it is smaller than the sum of its proper divisors (137171400).

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

66456120 is a wasteful number, since it uses less digits than its factorization.

66456120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11844 (or 11840 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 66456120 is about 8152.0623157579. The cubic root of 66456120 is about 405.0528204237.

The spelling of 66456120 in words is "sixty-six million, four hundred fifty-six thousand, one hundred twenty".