85820872 has 64 divisors (see below), whose sum is σ = 177811200. Its totient is φ = 38684160.

The previous prime is 85820863. The next prime is 85820873. The reversal of 85820872 is 27802858.

It is not an unprimeable number, because it can be changed into a prime (85820873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292758 + ... + 293050.

It is an arithmetic number, because the mean of its divisors is an integer number (2778300).

Almost surely, 2^85820872 is an apocalyptic number.

85820872 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

85820872 is an abundant number, since it is smaller than the sum of its proper divisors (91990328).

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

85820872 is a wasteful number, since it uses less digits than its factorization.

85820872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 40.

The square root of 85820872 is about 9263.9555266635. The cubic root of 85820872 is about 441.0938212534.

It can be divided in two parts, 8 and 5820872, that multiplied together give a square (46566976 = 6824²).

The spelling of 85820872 in words is "eighty-five million, eight hundred twenty thousand, eight hundred seventy-two".