85037600 has 36 divisors (see below), whose sum is σ = 207599994. Its totient is φ = 34014720.

The previous prime is 85037591. The next prime is 85037629. The reversal of 85037600 is 673058.

It can be written as a sum of positive squares in 3 ways, for example, as 67831696 + 17205904 = 8236^2 + 4148^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52349 + ... + 53948.

Almost surely, 2^85037600 is an apocalyptic number.

85037600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85037600 is an abundant number, since it is smaller than the sum of its proper divisors (122562394).

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

85037600 is a wasteful number, since it uses less digits than its factorization.

85037600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106317 (or 106304 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 85037600 is about 9221.5833781407. The cubic root of 85037600 is about 439.7477893432.

The spelling of 85037600 in words is "eighty-five million, thirty-seven thousand, six hundred".