85734900 has 54 divisors (see below), whose sum is σ = 268734102. Its totient is φ = 22862400.

The previous prime is 85734881. The next prime is 85734907. The reversal of 85734900 is 943758.

It can be written as a sum of positive squares in 3 ways, for example, as 24336 + 85710564 = 156^2 + 9258^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85734907) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 46731 + ... + 48530.

Almost surely, 2^85734900 is an apocalyptic number.

It is an amenable number.

85734900 is an abundant number, since it is smaller than the sum of its proper divisors (182999202).

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

85734900 is a wasteful number, since it uses less digits than its factorization.

85734900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95281 (or 95271 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 85734900 is about 9259.3142294665. The cubic root of 85734900 is about 440.9464818514.

The spelling of 85734900 in words is "eighty-five million, seven hundred thirty-four thousand, nine hundred".