64053792 has 72 divisors (see below), whose sum is σ = 198722160. Its totient is φ = 19409280.

The previous prime is 64053791. The next prime is 64053793. The reversal of 64053792 is 29735046.

64053792 is a `hidden beast` number, since 640 + 5 + 3 + 7 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (64053791) and next prime (64053793).

It is a tau number, because it is divible by the number of its divisors (72).

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 (64053791) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6942 + ... + 13277.

It is an arithmetic number, because the mean of its divisors is an integer number (2760030).

Almost surely, 2^64053792 is an apocalyptic number.

It is an amenable number.

64053792 is an abundant number, since it is smaller than the sum of its proper divisors (134668368).

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

64053792 is a wasteful number, since it uses less digits than its factorization.

64053792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20246 (or 20235 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 64053792 is about 8003.3612938565. The cubic root of 64053792 is about 400.1120352840.

The spelling of 64053792 in words is "sixty-four million, fifty-three thousand, seven hundred ninety-two".