83952960 has 336 divisors, whose sum is σ = 338986368. Its totient is φ = 17141760.

The previous prime is 83952937. The next prime is 83952971. The reversal of 83952960 is 6925938.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2708145 + ... + 2708175.

It is an arithmetic number, because the mean of its divisors is an integer number (1008888).

Almost surely, 2^83952960 is an apocalyptic number.

83952960 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 83952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169493184).

83952960 is an abundant number, since it is smaller than the sum of its proper divisors (255033408).

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

83952960 is a wasteful number, since it uses less digits than its factorization.

83952960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 83952960 is about 9162.5847881479. The cubic root of 83952960 is about 437.8701476999.

The spelling of 83952960 in words is "eighty-three million, nine hundred fifty-two thousand, nine hundred sixty".