84952896 has 112 divisors (see below), whose sum is σ = 265297920. Its totient is φ = 23477760.

The previous prime is 84952883. The next prime is 84952913. The reversal of 84952896 is 69825948.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40645 + ... + 42683.

Almost surely, 2^84952896 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 84952896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132648960).

84952896 is an abundant number, since it is smaller than the sum of its proper divisors (180345024).

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

84952896 is a wasteful number, since it uses less digits than its factorization.

84952896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092 (or 2082 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The square root of 84952896 is about 9216.9895302100. The cubic root of 84952896 is about 439.6017332809.

The spelling of 84952896 in words is "eighty-four million, nine hundred fifty-two thousand, eight hundred ninety-six".