82135680 has 128 divisors (see below), whose sum is σ = 285681600. Its totient is φ = 19906560.

The previous prime is 82135679. The next prime is 82135693. The reversal of 82135680 is 8653128.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 19176 + ... + 23064.

Almost surely, 2^82135680 is an apocalyptic number.

82135680 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 82135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142840800).

82135680 is an abundant number, since it is smaller than the sum of its proper divisors (203545920).

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

82135680 is a wasteful number, since it uses less digits than its factorization.

82135680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3922 (or 3910 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 82135680 is about 9062.8737164323. The cubic root of 82135680 is about 434.6876341189.

The spelling of 82135680 in words is "eighty-two million, one hundred thirty-five thousand, six hundred eighty".