64251792 has 100 divisors (see below), whose sum is σ = 202914096. Its totient is φ = 19465920.

The previous prime is 64251763. The next prime is 64251793. The reversal of 64251792 is 29715246.

64251792 is a `hidden beast` number, since 642 + 5 + 1 + 7 + 9 + 2 = 666.

64251792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×64251792² = 8256585550422528, which contains 22 as substring.

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 (64251793) 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 19 ways as a sum of consecutive naturals, for example, 12003 + ... + 16509.

Almost surely, 2^64251792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64251792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101457048).

64251792 is an abundant number, since it is smaller than the sum of its proper divisors (138662304).

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

64251792 is a wasteful number, since it uses less digits than its factorization.

64251792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4538 (or 4523 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 64251792 is about 8015.7215520501. The cubic root of 64251792 is about 400.5238802409.

The spelling of 64251792 in words is "sixty-four million, two hundred fifty-one thousand, seven hundred ninety-two".