84921336 has 96 divisors (see below), whose sum is σ = 252720000. Its totient is φ = 25641792.

The previous prime is 84921329. The next prime is 84921371. The reversal of 84921336 is 63312948.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 84921336.

It is a congruent number.

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, 30115 + ... + 32813.

It is an arithmetic number, because the mean of its divisors is an integer number (2632500).

Almost surely, 2^84921336 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 84921336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126360000).

84921336 is an abundant number, since it is smaller than the sum of its proper divisors (167798664).

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

84921336 is a wasteful number, since it uses less digits than its factorization.

84921336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2753 (or 2746 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 84921336 is about 9215.2773154149. The cubic root of 84921336 is about 439.5472891919.

The spelling of 84921336 in words is "eighty-four million, nine hundred twenty-one thousand, three hundred thirty-six".