85180544 has 32 divisors (see below), whose sum is σ = 173318400. Its totient is φ = 41681152.

The previous prime is 85180541. The next prime is 85180559. The reversal of 85180544 is 44508158.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×85180544² = 14511450152271872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85180541) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1064 + ... + 13095.

It is an arithmetic number, because the mean of its divisors is an integer number (5416200).

Almost surely, 2^85180544 is an apocalyptic number.

It is an amenable number.

85180544 is an abundant number, since it is smaller than the sum of its proper divisors (88137856).

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

85180544 is a wasteful number, since it uses less digits than its factorization.

85180544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14220 (or 14208 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 35.

The square root of 85180544 is about 9229.3306366172. The cubic root of 85180544 is about 439.9940495063.

The spelling of 85180544 in words is "eighty-five million, one hundred eighty thousand, five hundred forty-four".