82915120 has 80 divisors (see below), whose sum is σ = 209236608. Its totient is φ = 30433280.

The previous prime is 82915117. The next prime is 82915121. The reversal of 82915120 is 2151928.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×82915120² = 13749834249228800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82915121) by changing a digit.

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, 55017 + ... + 56503.

Almost surely, 2^82915120 is an apocalyptic number.

82915120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

82915120 is the 7435-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82915120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104618304).

82915120 is an abundant number, since it is smaller than the sum of its proper divisors (126321488).

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

82915120 is a wasteful number, since it uses less digits than its factorization.

82915120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 82915120 is about 9105.7739923633. The cubic root of 82915120 is about 436.0583206221.

The spelling of 82915120 in words is "eighty-two million, nine hundred fifteen thousand, one hundred twenty".