82969600 has 132 divisors (see below), whose sum is σ = 235552384. Its totient is φ = 28385280.

The previous prime is 82969597. The next prime is 82969613. The reversal of 82969600 is 696928.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178969 + ... + 179431.

Almost surely, 2^82969600 is an apocalyptic number.

82969600 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 82969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117776192).

82969600 is an abundant number, since it is smaller than the sum of its proper divisors (152582784).

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

82969600 is a wasteful number, since it uses less digits than its factorization.

82969600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 82969600 is about 9108.7650095938. The cubic root of 82969600 is about 436.1538048397.

The spelling of 82969600 in words is "eighty-two million, nine hundred sixty-nine thousand, six hundred".