85606380 has 72 divisors (see below), whose sum is σ = 262403232. Its totient is φ = 22588416.

The previous prime is 85606379. The next prime is 85606393. The reversal of 85606380 is 8360658.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15009 + ... + 19911.

Almost surely, 2^85606380 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 85606380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131201616).

85606380 is an abundant number, since it is smaller than the sum of its proper divisors (176796852).

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

85606380 is a wasteful number, since it uses less digits than its factorization.

85606380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5015 (or 5010 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 85606380 is about 9252.3715878687. The cubic root of 85606380 is about 440.7260396024.

The spelling of 85606380 in words is "eighty-five million, six hundred six thousand, three hundred eighty".