82015680 has 112 divisors (see below), whose sum is σ = 267553440. Its totient is φ = 21270528.

The previous prime is 82015673. The next prime is 82015727. The reversal of 82015680 is 8651028.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34366 + ... + 36674.

It is an arithmetic number, because the mean of its divisors is an integer number (2388870).

Almost surely, 2^82015680 is an apocalyptic number.

82015680 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 82015680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133776720).

82015680 is an abundant number, since it is smaller than the sum of its proper divisors (185537760).

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

82015680 is a wasteful number, since it uses less digits than its factorization.

82015680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 82015680 is about 9056.2508799171. The cubic root of 82015680 is about 434.4758384663.

The spelling of 82015680 in words is "eighty-two million, fifteen thousand, six hundred eighty".