85627520 has 64 divisors (see below), whose sum is σ = 223331040. Its totient is φ = 31134720.

The previous prime is 85627483. The next prime is 85627537. The reversal of 85627520 is 2572658.

It is a tau number, because it is divible by the number of its divisors (64).

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, 959 + ... + 13121.

Almost surely, 2^85627520 is an apocalyptic number.

85627520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85627520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111665520).

85627520 is an abundant number, since it is smaller than the sum of its proper divisors (137703520).

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

85627520 is a wasteful number, since it uses less digits than its factorization.

85627520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12193 (or 12181 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 85627520 is about 9253.5139271522. The cubic root of 85627520 is about 440.7623148646.

The spelling of 85627520 in words is "eighty-five million, six hundred twenty-seven thousand, five hundred twenty".