85564040 has 32 divisors (see below), whose sum is σ = 193014360. Its totient is φ = 34137600.

The previous prime is 85564033. The next prime is 85564067. The reversal of 85564040 is 4046558.

It can be written as a sum of positive squares in 4 ways, for example, as 23059204 + 62504836 = 4802^2 + 7906^2 .

It is a super-2 number, since 2×85564040² = 14642409882243200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 85563988 and 85564006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14300 + ... + 19380.

Almost surely, 2^85564040 is an apocalyptic number.

It is an amenable number.

85564040 is an abundant number, since it is smaller than the sum of its proper divisors (107450320).

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

85564040 is a wasteful number, since it uses less digits than its factorization.

85564040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5513 (or 5509 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 85564040 is about 9250.0832428687. The cubic root of 85564040 is about 440.6533681583.

The spelling of 85564040 in words is "eighty-five million, five hundred sixty-four thousand, forty".