85142880 has 96 divisors (see below), whose sum is σ = 298015200. Its totient is φ = 22703616.

The previous prime is 85142879. The next prime is 85142891. The reversal of 85142880 is 8824158.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5535 + ... + 14174.

It is an arithmetic number, because the mean of its divisors is an integer number (3104325).

Almost surely, 2^85142880 is an apocalyptic number.

85142880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85142880 is an abundant number, since it is smaller than the sum of its proper divisors (212872320).

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

85142880 is a wasteful number, since it uses less digits than its factorization.

85142880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19733 (or 19719 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 85142880 is about 9227.2899596794. The cubic root of 85142880 is about 439.9291897069.

The spelling of 85142880 in words is "eighty-five million, one hundred forty-two thousand, eight hundred eighty".