85290900 has 144 divisors (see below), whose sum is σ = 263983104. Its totient is φ = 21211520.

The previous prime is 85290893. The next prime is 85290911. The reversal of 85290900 is 909258.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 324169 + ... + 324431.

It is an arithmetic number, because the mean of its divisors is an integer number (1833216).

Almost surely, 2^85290900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85290900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131991552).

85290900 is an abundant number, since it is smaller than the sum of its proper divisors (178692204).

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

85290900 is a wasteful number, since it uses less digits than its factorization.

85290900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 85290900 is about 9235.3072498970. The cubic root of 85290900 is about 440.1839795348.

The spelling of 85290900 in words is "eighty-five million, two hundred ninety thousand, nine hundred".