40692564 has 48 divisors (see below), whose sum is σ = 115093440. Its totient is φ = 12330720.

The previous prime is 40692557. The next prime is 40692569. The reversal of 40692564 is 46529604.

40692564 is a `hidden beast` number, since 4 + 0 + 6 + 92 + 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 not an unprimeable number, because it can be changed into a prime (40692569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15939 + ... + 18314.

It is an arithmetic number, because the mean of its divisors is an integer number (2397780).

Almost surely, 2^40692564 is an apocalyptic number.

40692564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40692564 is an abundant number, since it is smaller than the sum of its proper divisors (74400876).

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

40692564 is a wasteful number, since it uses less digits than its factorization.

40692564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34277 (or 34269 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 40692564 is about 6379.0723463526. The cubic root of 40692564 is about 343.9576858896.

The spelling of 40692564 in words is "forty million, six hundred ninety-two thousand, five hundred sixty-four".