82818960 has 80 divisors (see below), whose sum is σ = 293421696. Its totient is φ = 18929664.

The previous prime is 82818959. The next prime is 82818979. The reversal of 82818960 is 6981828.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22969 + ... + 26328.

Almost surely, 2^82818960 is an apocalyptic number.

82818960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82818960 is an abundant number, since it is smaller than the sum of its proper divisors (210602736).

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

82818960 is a wasteful number, since it uses less digits than its factorization.

82818960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49320 (or 49314 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 82818960 is about 9100.4922943762. The cubic root of 82818960 is about 435.8896839552.

The spelling of 82818960 in words is "eighty-two million, eight hundred eighteen thousand, nine hundred sixty".