82290516 has 192 divisors, whose sum is σ = 257402880. Its totient is φ = 19837440.

The previous prime is 82290493. The next prime is 82290521. The reversal of 82290516 is 61509228.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 991411 + ... + 991493.

It is an arithmetic number, because the mean of its divisors is an integer number (1340640).

Almost surely, 2^82290516 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 82290516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128701440).

82290516 is an abundant number, since it is smaller than the sum of its proper divisors (175112364).

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

82290516 is a wasteful number, since it uses less digits than its factorization.

82290516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 82290516 is about 9071.4120179826. The cubic root of 82290516 is about 434.9606094600.

The spelling of 82290516 in words is "eighty-two million, two hundred ninety thousand, five hundred sixteen".