85752180 has 36 divisors (see below), whose sum is σ = 260115492. Its totient is φ = 22867200.

The previous prime is 85752157. The next prime is 85752223. The reversal of 85752180 is 8125758.

85752180 is a `hidden beast` number, since 8 + 57 + 521 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32695524 + 53056656 = 5718^2 + 7284^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 238021 + ... + 238380.

Almost surely, 2^85752180 is an apocalyptic number.

It is an amenable number.

85752180 is an abundant number, since it is smaller than the sum of its proper divisors (174363312).

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

85752180 is a wasteful number, since it uses less digits than its factorization.

85752180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476416 (or 476411 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 85752180 is about 9260.2472969138. The cubic root of 85752180 is about 440.9761043402.

The spelling of 85752180 in words is "eighty-five million, seven hundred fifty-two thousand, one hundred eighty".