82302696 has 128 divisors (see below), whose sum is σ = 270432000. Its totient is φ = 22692096.

The previous prime is 82302677. The next prime is 82302707. The reversal of 82302696 is 69620328.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 82302696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42910 + ... + 44786.

It is an arithmetic number, because the mean of its divisors is an integer number (2112750).

Almost surely, 2^82302696 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 82302696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135216000).

82302696 is an abundant number, since it is smaller than the sum of its proper divisors (188129304).

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

82302696 is a wasteful number, since it uses less digits than its factorization.

82302696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 82302696 is about 9072.0833329506. The cubic root of 82302696 is about 434.9820682263.

The spelling of 82302696 in words is "eighty-two million, three hundred two thousand, six hundred ninety-six".