85437680 has 40 divisors (see below), whose sum is σ = 209101200. Its totient is φ = 32375808.

The previous prime is 85437679. The next prime is 85437707. The reversal of 85437680 is 8673458.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26585 + ... + 29624.

It is an arithmetic number, because the mean of its divisors is an integer number (5227530).

Almost surely, 2^85437680 is an apocalyptic number.

85437680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85437680 is an abundant number, since it is smaller than the sum of its proper divisors (123663520).

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

85437680 is a wasteful number, since it uses less digits than its factorization.

85437680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56241 (or 56235 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 85437680 is about 9243.2505105077. The cubic root of 85437680 is about 440.4363439981.

The spelling of 85437680 in words is "eighty-five million, four hundred thirty-seven thousand, six hundred eighty".