82997568 has 112 divisors (see below), whose sum is σ = 249895360. Its totient is φ = 26998272.

The previous prime is 82997557. The next prime is 82997581. The reversal of 82997568 is 86579928.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 73746 + ... + 74862.

Almost surely, 2^82997568 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 82997568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124947680).

82997568 is an abundant number, since it is smaller than the sum of its proper divisors (166897792).

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

82997568 is a wasteful number, since it uses less digits than its factorization.

82997568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1165 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 82997568 is about 9110.3001048264. The cubic root of 82997568 is about 436.2028066397.

It can be divided in two parts, 8 and 2997568, that added together give a triangular number (2997576 = T₂₄₄₈).

The spelling of 82997568 in words is "eighty-two million, nine hundred ninety-seven thousand, five hundred sixty-eight".