85884420 has 48 divisors (see below), whose sum is σ = 241718400. Its totient is φ = 22784256.

The previous prime is 85884367. The next prime is 85884431. The reversal of 85884420 is 2448858.

It is a super-2 number, since 2×85884420² = 14752267197472800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 8344 + ... + 15536.

It is an arithmetic number, because the mean of its divisors is an integer number (5035800).

Almost surely, 2^85884420 is an apocalyptic number.

It is an amenable number.

85884420 is an abundant number, since it is smaller than the sum of its proper divisors (155833980).

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

85884420 is a wasteful number, since it uses less digits than its factorization.

85884420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7404 (or 7402 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 85884420 is about 9267.3847443602. The cubic root of 85884420 is about 441.2026670144.

The spelling of 85884420 in words is "eighty-five million, eight hundred eighty-four thousand, four hundred twenty".