85188656 has 60 divisors (see below), whose sum is σ = 193338072. Its totient is φ = 36255744.

The previous prime is 85188643. The next prime is 85188659. The reversal of 85188656 is 65688158.

It is a super-2 number, since 2×85188656² = 14514214222172672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85188656.

It is not an unprimeable number, because it can be changed into a prime (85188659) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151031 + ... + 151593.

Almost surely, 2^85188656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85188656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96669036).

85188656 is an abundant number, since it is smaller than the sum of its proper divisors (108149416).

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

85188656 is a wasteful number, since it uses less digits than its factorization.

85188656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 765 counting only the distinct ones).

The product of its digits is 460800, while the sum is 47.

The square root of 85188656 is about 9229.7700946448. The cubic root of 85188656 is about 440.0080163829.

The spelling of 85188656 in words is "eighty-five million, one hundred eighty-eight thousand, six hundred fifty-six".