82600128 has 112 divisors (see below), whose sum is σ = 261579360. Its totient is φ = 25408512.

The previous prime is 82600081. The next prime is 82600139. The reversal of 82600128 is 82100628.

It is a super-2 number, since 2×82600128² = 13645562291232768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 20626 + ... + 24302.

It is an arithmetic number, because the mean of its divisors is an integer number (2335530).

Almost surely, 2^82600128 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 82600128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130789680).

82600128 is an abundant number, since it is smaller than the sum of its proper divisors (178979232).

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

82600128 is a wasteful number, since it uses less digits than its factorization.

82600128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3711 (or 3695 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 82600128 is about 9088.4612559003. The cubic root of 82600128 is about 435.5054291582.

Subtracting from 82600128 its reverse (82100628), we obtain a triangular number (499500 = T₉₉₉).

It can be divided in two parts, 82600 and 128, that added together give a palindrome (82728).

The spelling of 82600128 in words is "eighty-two million, six hundred thousand, one hundred twenty-eight".