85800735 has 32 divisors (see below), whose sum is σ = 153190080. Its totient is φ = 45563904.

The previous prime is 85800727. The next prime is 85800739. The reversal of 85800735 is 53700858.

It is a happy number.

85800735 is a `hidden beast` number, since 8 + 580 + 0 + 73 + 5 = 666.

It is not a de Polignac number, because 85800735 - 2³ = 85800727 is a prime.

It is a super-2 number, since 2×85800735² = 14723532253080450, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85800735.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85800739) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33459 + ... + 35931.

It is an arithmetic number, because the mean of its divisors is an integer number (4787190).

Almost surely, 2^85800735 is an apocalyptic number.

85800735 is a deficient number, since it is larger than the sum of its proper divisors (67389345).

85800735 is a wasteful number, since it uses less digits than its factorization.

85800735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2744 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 85800735 is about 9262.8686161469. The cubic root of 85800735 is about 441.0593191528.

The spelling of 85800735 in words is "eighty-five million, eight hundred thousand, seven hundred thirty-five".