84960576 has 112 divisors (see below), whose sum is σ = 253268480. Its totient is φ = 28273536.

The previous prime is 84960563. The next prime is 84960583. The reversal of 84960576 is 67506948.

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, 139665 + ... + 140271.

Almost surely, 2^84960576 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 84960576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126634240).

84960576 is an abundant number, since it is smaller than the sum of its proper divisors (168307904).

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

84960576 is an frugal number, since it uses more digits than its factorization.

84960576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 84960576 is about 9217.4061427280. The cubic root of 84960576 is about 439.6149799927.

It can be divided in two parts, 849 and 60576, that added together give a triangular number (61425 = T₃₅₀).

The spelling of 84960576 in words is "eighty-four million, nine hundred sixty thousand, five hundred seventy-six".