82908672 has 160 divisors (see below), whose sum is σ = 275768064. Its totient is φ = 21504000.

The previous prime is 82908671. The next prime is 82908691. The reversal of 82908672 is 27680928.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82908671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117922 + ... + 118622.

Almost surely, 2^82908672 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 82908672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137884032).

82908672 is an abundant number, since it is smaller than the sum of its proper divisors (192859392).

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

82908672 is a wasteful number, since it uses less digits than its factorization.

82908672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 82908672 is about 9105.4199244186. The cubic root of 82908672 is about 436.0470167853.

The spelling of 82908672 in words is "eighty-two million, nine hundred eight thousand, six hundred seventy-two".