82615680 has 256 divisors, whose sum is σ = 334886400. Its totient is φ = 18855936.

The previous prime is 82615679. The next prime is 82615681. The reversal of 82615680 is 8651628.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82615679) and next prime (82615681).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82615681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120619 + ... + 121301.

It is an arithmetic number, because the mean of its divisors is an integer number (1308150).

Almost surely, 2^82615680 is an apocalyptic number.

82615680 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 82615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167443200).

82615680 is an abundant number, since it is smaller than the sum of its proper divisors (252270720).

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

82615680 is a wasteful number, since it uses less digits than its factorization.

82615680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 82615680 is about 9089.3168060091. The cubic root of 82615680 is about 435.5327598479.

The spelling of 82615680 in words is "eighty-two million, six hundred fifteen thousand, six hundred eighty".