40917564 has 72 divisors (see below), whose sum is σ = 109840640. Its totient is φ = 12807072.

The previous prime is 40917559. The next prime is 40917577. The reversal of 40917564 is 46571904.

40917564 is a `hidden beast` number, since 4 + 0 + 91 + 7 + 564 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111309 + ... + 111675.

Almost surely, 2^40917564 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 40917564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54920320).

40917564 is an abundant number, since it is smaller than the sum of its proper divisors (68923076).

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

40917564 is a wasteful number, since it uses less digits than its factorization.

40917564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 554 counting only the distinct ones).

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

The square root of 40917564 is about 6396.6838283598. The cubic root of 40917564 is about 344.5904655326.

The spelling of 40917564 in words is "forty million, nine hundred seventeen thousand, five hundred sixty-four".