82490814 has 96 divisors (see below), whose sum is σ = 215654400. Its totient is φ = 22755600.

The previous prime is 82490809. The next prime is 82490833. The reversal of 82490814 is 41809428.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191179 + ... + 191609.

It is an arithmetic number, because the mean of its divisors is an integer number (2246400).

Almost surely, 2^82490814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82490814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107827200).

82490814 is an abundant number, since it is smaller than the sum of its proper divisors (133163586).

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

82490814 is a wasteful number, since it uses less digits than its factorization.

82490814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 82490814 is about 9082.4453755583. The cubic root of 82490814 is about 435.3132266429.

The spelling of 82490814 in words is "eighty-two million, four hundred ninety thousand, eight hundred fourteen".