82713960 has 240 divisors, whose sum is σ = 324021060. Its totient is φ = 18869760.

The previous prime is 82713949. The next prime is 82713977. The reversal of 82713960 is 6931728.

It can be written as a sum of positive squares in 2 ways, for example, as 80030916 + 2683044 = 8946^2 + 1638^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 158500 + ... + 159020.

Almost surely, 2^82713960 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 82713960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162010530).

82713960 is an abundant number, since it is smaller than the sum of its proper divisors (241307100).

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

82713960 is a wasteful number, since it uses less digits than its factorization.

82713960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 82713960 is about 9094.7215460398. The cubic root of 82713960 is about 435.7053953472.

The spelling of 82713960 in words is "eighty-two million, seven hundred thirteen thousand, nine hundred sixty".