82364490 has 192 divisors, whose sum is σ = 252618912. Its totient is φ = 18432000.

The previous prime is 82364417. The next prime is 82364501. The reversal of 82364490 is 9446328.

It is a happy number.

82364490 is a `hidden beast` number, since 8 + 2 + 3 + 644 + 9 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 6517809 + 75846681 = 2553^2 + 8709^2 .

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 815440 + ... + 815540.

Almost surely, 2^82364490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82364490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126309456).

82364490 is an abundant number, since it is smaller than the sum of its proper divisors (170254422).

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

82364490 is a wasteful number, since it uses less digits than its factorization.

82364490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 82364490 is about 9075.4884166088. The cubic root of 82364490 is about 435.0909045056.

The spelling of 82364490 in words is "eighty-two million, three hundred sixty-four thousand, four hundred ninety".