84920576 has 144 divisors (see below), whose sum is σ = 206035200. Its totient is φ = 34504704.

The previous prime is 84920573. The next prime is 84920581. The reversal of 84920576 is 67502948.

84920576 = 459² + 460² + ... + 705².

It is not an unprimeable number, because it can be changed into a prime (84920573) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1074905 + ... + 1074983.

It is an arithmetic number, because the mean of its divisors is an integer number (1430800).

Almost surely, 2^84920576 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 84920576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103017600).

84920576 is an abundant number, since it is smaller than the sum of its proper divisors (121114624).

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

84920576 is a wasteful number, since it uses less digits than its factorization.

84920576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 84920576 is about 9215.2360794502. The cubic root of 84920576 is about 439.5459779512.

The spelling of 84920576 in words is "eighty-four million, nine hundred twenty thousand, five hundred seventy-six".