82999140 has 192 divisors, whose sum is σ = 280896000. Its totient is φ = 18289152.

The previous prime is 82999139. The next prime is 82999153. The reversal of 82999140 is 4199928.

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

It is a junction number, because it is equal to n+sod(n) for n = 82999092 and 82999101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 761406 + ... + 761514.

It is an arithmetic number, because the mean of its divisors is an integer number (1463000).

Almost surely, 2^82999140 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 82999140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140448000).

82999140 is an abundant number, since it is smaller than the sum of its proper divisors (197896860).

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

82999140 is a wasteful number, since it uses less digits than its factorization.

82999140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 82999140 is about 9110.3863803902. The cubic root of 82999140 is about 436.2055605617.

The spelling of 82999140 in words is "eighty-two million, nine hundred ninety-nine thousand, one hundred forty".