64120896 has 336 divisors, whose sum is σ = 236687360. Its totient is φ = 16796160.

The previous prime is 64120891. The next prime is 64120909. The reversal of 64120896 is 69802146.

64120896 is a `hidden beast` number, since 641 + 2 + 0 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×64120896² = 8222978607685632, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 64120896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64120891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2068401 + ... + 2068431.

Almost surely, 2^64120896 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 64120896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118343680).

64120896 is an abundant number, since it is smaller than the sum of its proper divisors (172566464).

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

64120896 is a wasteful number, since it uses less digits than its factorization.

64120896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 64120896 is about 8007.5524350453. The cubic root of 64120896 is about 400.2517082408.

The spelling of 64120896 in words is "sixty-four million, one hundred twenty thousand, eight hundred ninety-six".