85420880 has 20 divisors (see below), whose sum is σ = 198603732. Its totient is φ = 34168320.

The previous prime is 85420871. The next prime is 85420897. The reversal of 85420880 is 8802458.

It can be written as a sum of positive squares in 2 ways, for example, as 23892544 + 61528336 = 4888^2 + 7844^2 .

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

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 85420880.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 533801 + ... + 533960.

Almost surely, 2^85420880 is an apocalyptic number.

85420880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85420880 is an abundant number, since it is smaller than the sum of its proper divisors (113182852).

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

85420880 is a wasteful number, since it uses less digits than its factorization.

85420880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067774 (or 1067768 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 35.

The square root of 85420880 is about 9242.3416946140. The cubic root of 85420880 is about 440.4074737712.

The spelling of 85420880 in words is "eighty-five million, four hundred twenty thousand, eight hundred eighty".