82874976 has 48 divisors (see below), whose sum is σ = 218562624. Its totient is φ = 27496064.

The previous prime is 82874951. The next prime is 82874977. The reversal of 82874976 is 67947828.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82874977) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19891 + ... + 23693.

It is an arithmetic number, because the mean of its divisors is an integer number (4553388).

Almost surely, 2^82874976 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 82874976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109281312).

82874976 is an abundant number, since it is smaller than the sum of its proper divisors (135687648).

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

82874976 is a wasteful number, since it uses less digits than its factorization.

82874976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4043 (or 4035 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 51.

The square root of 82874976 is about 9103.5694098524. The cubic root of 82874976 is about 435.9879355863.

The spelling of 82874976 in words is "eighty-two million, eight hundred seventy-four thousand, nine hundred seventy-six".