84752960 has 56 divisors (see below), whose sum is σ = 204313536. Its totient is φ = 33482240.

The previous prime is 84752951. The next prime is 84752981. The reversal of 84752960 is 6925748.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24965 + ... + 28155.

It is an arithmetic number, because the mean of its divisors is an integer number (3648456).

Almost surely, 2^84752960 is an apocalyptic number.

84752960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84752960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102156768).

84752960 is an abundant number, since it is smaller than the sum of its proper divisors (119560576).

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

84752960 is a wasteful number, since it uses less digits than its factorization.

84752960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3291 (or 3281 counting only the distinct ones).

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

The square root of 84752960 is about 9206.1370834895. The cubic root of 84752960 is about 439.2565959252.

The spelling of 84752960 in words is "eighty-four million, seven hundred fifty-two thousand, nine hundred sixty".