40566160 has 20 divisors (see below), whose sum is σ = 94316508. Its totient is φ = 16226432.

The previous prime is 40566133. The next prime is 40566191. The reversal of 40566160 is 6166504.

It can be written as a sum of positive squares in 2 ways, for example, as 22316176 + 18249984 = 4724^2 + 4272^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×40566160² = 3291226674291200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 253459 + ... + 253618.

Almost surely, 2^40566160 is an apocalyptic number.

40566160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40566160 is an abundant number, since it is smaller than the sum of its proper divisors (53750348).

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

40566160 is a wasteful number, since it uses less digits than its factorization.

40566160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507090 (or 507084 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 40566160 is about 6369.1569300811. The cubic root of 40566160 is about 343.6011692903.

The spelling of 40566160 in words is "forty million, five hundred sixty-six thousand, one hundred sixty".