82888960 has 216 divisors, whose sum is σ = 256366656. Its totient is φ = 24944640.

The previous prime is 82888943. The next prime is 82888961. The reversal of 82888960 is 6988828.

It is not an unprimeable number, because it can be changed into a prime (82888961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2858226 + ... + 2858254.

Almost surely, 2^82888960 is an apocalyptic number.

82888960 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 82888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128183328).

82888960 is an abundant number, since it is smaller than the sum of its proper divisors (173477696).

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

82888960 is a wasteful number, since it uses less digits than its factorization.

82888960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 49.

The square root of 82888960 is about 9104.3374278417. The cubic root of 82888960 is about 436.0124565080.

The spelling of 82888960 in words is "eighty-two million, eight hundred eighty-eight thousand, nine hundred sixty".