82890864 has 100 divisors (see below), whose sum is σ = 274213104. Its totient is φ = 23680512.

The previous prime is 82890839. The next prime is 82890883. The reversal of 82890864 is 46809828.

It is a happy number.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 4504 + ... + 13640.

Almost surely, 2^82890864 is an apocalyptic number.

82890864 is a gapful number since it is divisible by the number (84) 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 82890864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137106552).

82890864 is an abundant number, since it is smaller than the sum of its proper divisors (191322240).

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

82890864 is a wasteful number, since it uses less digits than its factorization.

82890864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9164 (or 9149 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 82890864 is about 9104.4419927857. The cubic root of 82890864 is about 436.0157949557.

The spelling of 82890864 in words is "eighty-two million, eight hundred ninety thousand, eight hundred sixty-four".