84942864 has 160 divisors (see below), whose sum is σ = 259983360. Its totient is φ = 26497152.

The previous prime is 84942859. The next prime is 84942961. The reversal of 84942864 is 46824948.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 824637 + ... + 824739.

It is an arithmetic number, because the mean of its divisors is an integer number (1624896).

Almost surely, 2^84942864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84942864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129991680).

84942864 is an abundant number, since it is smaller than the sum of its proper divisors (175040496).

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

84942864 is a wasteful number, since it uses less digits than its factorization.

84942864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 214 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 84942864 is about 9216.4453017419. The cubic root of 84942864 is about 439.5844285611.

The spelling of 84942864 in words is "eighty-four million, nine hundred forty-two thousand, eight hundred sixty-four".