82986880 has 64 divisors (see below), whose sum is σ = 200148480. Its totient is φ = 32901120.

The previous prime is 82986857. The next prime is 82986881. The reversal of 82986880 is 8868928.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82986881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80770 + ... + 81790.

It is an arithmetic number, because the mean of its divisors is an integer number (3127320).

Almost surely, 2^82986880 is an apocalyptic number.

82986880 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 82986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100074240).

82986880 is an abundant number, since it is smaller than the sum of its proper divisors (117161600).

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

82986880 is a wasteful number, since it uses less digits than its factorization.

82986880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1155 counting only the distinct ones).

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

The square root of 82986880 is about 9109.7134971414. The cubic root of 82986880 is about 436.1840818511.

The spelling of 82986880 in words is "eighty-two million, nine hundred eighty-six thousand, eight hundred eighty".