40632564 has 72 divisors (see below), whose sum is σ = 116124960. Its totient is φ = 10995264.

The previous prime is 40632547. The next prime is 40632569. The reversal of 40632564 is 46523604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40632569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9354 + ... + 12990.

Almost surely, 2^40632564 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 40632564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58062480).

40632564 is an abundant number, since it is smaller than the sum of its proper divisors (75492396).

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

40632564 is a wasteful number, since it uses less digits than its factorization.

40632564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3677 (or 3668 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 40632564 is about 6374.3677333521. The cubic root of 40632564 is about 343.7885508720.

The spelling of 40632564 in words is "forty million, six hundred thirty-two thousand, five hundred sixty-four".