64400896 has 120 divisors (see below), whose sum is σ = 159538896. Its totient is φ = 25804800.

The previous prime is 64400893. The next prime is 64400911. The reversal of 64400896 is 69800446.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64400891) 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, 426421 + ... + 426571.

Almost surely, 2^64400896 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 64400896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79769448).

64400896 is an abundant number, since it is smaller than the sum of its proper divisors (95138000).

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

64400896 is a wasteful number, since it uses less digits than its factorization.

64400896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 64400896 is about 8025.0168847174. The cubic root of 64400896 is about 400.8334621459.

It can be divided in two parts, 64 and 400896, that added together give a triangular number (400960 = T₈₉₅).

The spelling of 64400896 in words is "sixty-four million, four hundred thousand, eight hundred ninety-six".