82995660 has 144 divisors (see below), whose sum is σ = 277385472. Its totient is φ = 19920000.

The previous prime is 82995659. The next prime is 82995691. The reversal of 82995660 is 6659928.

82995660 is a `hidden beast` number, since 82 + 9 + 9 + 566 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 330535 + ... + 330785.

It is an arithmetic number, because the mean of its divisors is an integer number (1926288).

Almost surely, 2^82995660 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 82995660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138692736).

82995660 is an abundant number, since it is smaller than the sum of its proper divisors (194389812).

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

82995660 is a wasteful number, since it uses less digits than its factorization.

82995660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 82995660 is about 9110.1953875864. The cubic root of 82995660 is about 436.1994640464.

The spelling of 82995660 in words is "eighty-two million, nine hundred ninety-five thousand, six hundred sixty".