82994560 has 64 divisors (see below), whose sum is σ = 216464400. Its totient is φ = 30177280.

The previous prime is 82994551. The next prime is 82994567. The reversal of 82994560 is 6549928.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82994567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1146 + ... + 12934.

Almost surely, 2^82994560 is an apocalyptic number.

82994560 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 82994560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108232200).

82994560 is an abundant number, since it is smaller than the sum of its proper divisors (133469840).

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

82994560 is a wasteful number, since it uses less digits than its factorization.

82994560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11819 (or 11807 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The square root of 82994560 is about 9110.1350154649. The cubic root of 82994560 is about 436.1975369515.

The spelling of 82994560 in words is "eighty-two million, nine hundred ninety-four thousand, five hundred sixty".