85354920 has 96 divisors (see below), whose sum is σ = 317041920. Its totient is φ = 19509120.

The previous prime is 85354901. The next prime is 85354931. The reversal of 85354920 is 2945358.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14416 + ... + 19455.

It is an arithmetic number, because the mean of its divisors is an integer number (3302520).

Almost surely, 2^85354920 is an apocalyptic number.

It is an amenable number.

85354920 is an abundant number, since it is smaller than the sum of its proper divisors (231687000).

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

85354920 is a wasteful number, since it uses less digits than its factorization.

85354920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33895 (or 33888 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 85354920 is about 9238.7726457577. The cubic root of 85354920 is about 440.2940871408.

The spelling of 85354920 in words is "eighty-five million, three hundred fifty-four thousand, nine hundred twenty".