82860672 has 128 divisors (see below), whose sum is σ = 238190400. Its totient is φ = 25436160.

The previous prime is 82860667. The next prime is 82860707. The reversal of 82860672 is 27606828.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 82860672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298998 + ... + 299274.

Almost surely, 2^82860672 is an apocalyptic number.

82860672 is a gapful number since it is divisible by the number (82) 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 82860672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119095200).

82860672 is an abundant number, since it is smaller than the sum of its proper divisors (155329728).

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

82860672 is a wasteful number, since it uses less digits than its factorization.

82860672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 82860672 is about 9102.7837500404. The cubic root of 82860672 is about 435.9628506911.

The spelling of 82860672 in words is "eighty-two million, eight hundred sixty thousand, six hundred seventy-two".