85392090 has 64 divisors (see below), whose sum is σ = 260248320. Its totient is φ = 19517760.

The previous prime is 85392079. The next prime is 85392101. The reversal of 85392090 is 9029358.

It is an interprime number because it is at equal distance from previous prime (85392079) and next prime (85392101).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20701 + ... + 24480.

It is an arithmetic number, because the mean of its divisors is an integer number (4066380).

Almost surely, 2^85392090 is an apocalyptic number.

85392090 is an abundant number, since it is smaller than the sum of its proper divisors (174856230).

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

85392090 is a wasteful number, since it uses less digits than its factorization.

85392090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45204 (or 45198 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 85392090 is about 9240.7840576436. The cubic root of 85392090 is about 440.3579903354.

The spelling of 85392090 in words is "eighty-five million, three hundred ninety-two thousand, ninety".