85932900 has 135 divisors (see below), whose sum is σ = 281291241. Its totient is φ = 22692960.

The previous prime is 85932871. The next prime is 85932901. The reversal of 85932900 is 923958.

The square root of 85932900 is 9270.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 30935844 + 54997056 = 5562^2 + 7416^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (85932901) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 834249 + ... + 834351.

Almost surely, 2^85932900 is an apocalyptic number.

85932900 is the 9270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85932900

85932900 is an abundant number, since it is smaller than the sum of its proper divisors (195358341).

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

85932900 is a wasteful number, since it uses less digits than its factorization.

85932900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 113 counting only the distinct ones).

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

The cubic root of 85932900 is about 441.2856680287.

Multiplying 85932900 by its sum of digits (36), we get a square (3093584400 = 55620²).

85932900 divided by its sum of digits (36) gives a square (2387025 = 1545²).

The spelling of 85932900 in words is "eighty-five million, nine hundred thirty-two thousand, nine hundred".