85972820 has 24 divisors (see below), whose sum is σ = 186769800. Its totient is φ = 33203072.

The previous prime is 85972819. The next prime is 85972871. The reversal of 85972820 is 2827958.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 37503376 + 48469444 = 6124^2 + 6962^2 .

It is a congruent number.

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, 73535 + ... + 74694.

It is an arithmetic number, because the mean of its divisors is an integer number (7782075).

Almost surely, 2^85972820 is an apocalyptic number.

It is an amenable number.

85972820 is an abundant number, since it is smaller than the sum of its proper divisors (100796980).

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

85972820 is a wasteful number, since it uses less digits than its factorization.

85972820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148267 (or 148265 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 41.

The square root of 85972820 is about 9272.1529323022. The cubic root of 85972820 is about 441.3539903155.

The spelling of 85972820 in words is "eighty-five million, nine hundred seventy-two thousand, eight hundred twenty".