40764864 has 112 divisors (see below), whose sum is σ = 125984000. Its totient is φ = 11628288.

The previous prime is 40764821. The next prime is 40764883. The reversal of 40764864 is 46846704.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65547 + ... + 66165.

Almost surely, 2^40764864 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 40764864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62992000).

40764864 is an abundant number, since it is smaller than the sum of its proper divisors (85219136).

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

40764864 is an equidigital number, since it uses as much as digits as its factorization.

40764864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 40764864 is about 6384.7367995870. The cubic root of 40764864 is about 344.1612728575.

The spelling of 40764864 in words is "forty million, seven hundred sixty-four thousand, eight hundred sixty-four".