85738660 has 48 divisors (see below), whose sum is σ = 206317440. Its totient is φ = 29318400.

The previous prime is 85738651. The next prime is 85738711. The reversal of 85738660 is 6683758.

85738660 is nontrivially palindromic in base 3.

It is a super-2 number, since 2×85738660² = 14702235637191200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83631 + ... + 84649.

It is an arithmetic number, because the mean of its divisors is an integer number (4298280).

Almost surely, 2^85738660 is an apocalyptic number.

It is an amenable number.

85738660 is an abundant number, since it is smaller than the sum of its proper divisors (120578780).

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

85738660 is a wasteful number, since it uses less digits than its factorization.

85738660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 85738660 is about 9259.5172660350. The cubic root of 85738660 is about 440.9529278243.

The spelling of 85738660 in words is "eighty-five million, seven hundred thirty-eight thousand, six hundred sixty".