82918976 has 84 divisors (see below), whose sum is σ = 193802508. Its totient is φ = 35094528.

The previous prime is 82918949. The next prime is 82918987. The reversal of 82918976 is 67981928.

It can be written as a sum of positive squares in 2 ways, for example, as 33918976 + 49000000 = 5824^2 + 7000^2 .

It is a super-3 number, since 3×82918976³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 429536 + ... + 429728.

Almost surely, 2^82918976 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 82918976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96901254).

82918976 is an abundant number, since it is smaller than the sum of its proper divisors (110883532).

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

82918976 is a wasteful number, since it uses less digits than its factorization.

82918976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 339 counting only the distinct ones).

The product of its digits is 435456, while the sum is 50.

The square root of 82918976 is about 9105.9857236875. The cubic root of 82918976 is about 436.0650802047.

The spelling of 82918976 in words is "eighty-two million, nine hundred eighteen thousand, nine hundred seventy-six".