85580080 has 20 divisors (see below), whose sum is σ = 198973872. Its totient is φ = 34232000.

The previous prime is 85580071. The next prime is 85580081. The reversal of 85580080 is 8008558.

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (85580081) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 534796 + ... + 534955.

Almost surely, 2^85580080 is an apocalyptic number.

85580080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85580080 is an abundant number, since it is smaller than the sum of its proper divisors (113393792).

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

85580080 is a wasteful number, since it uses less digits than its factorization.

85580080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069764 (or 1069758 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 34.

The square root of 85580080 is about 9250.9502214637. The cubic root of 85580080 is about 440.6809016814.

The spelling of 85580080 in words is "eighty-five million, five hundred eighty thousand, eighty".