66235680 has 144 divisors (see below), whose sum is σ = 258358464. Its totient is φ = 15137280.

The previous prime is 66235679. The next prime is 66235693. The reversal of 66235680 is 8653266.

66235680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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 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 23 ways as a sum of consecutive naturals, for example, 6795 + ... + 13365.

It is an arithmetic number, because the mean of its divisors is an integer number (1794156).

Almost surely, 2^66235680 is an apocalyptic number.

66235680 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 66235680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129179232).

66235680 is an abundant number, since it is smaller than the sum of its proper divisors (192122784).

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

66235680 is a wasteful number, since it uses less digits than its factorization.

66235680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6599 (or 6588 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 66235680 is about 8138.5305799020. The cubic root of 66235680 is about 404.6044606482.

The spelling of 66235680 in words is "sixty-six million, two hundred thirty-five thousand, six hundred eighty".