83640816 has 160 divisors (see below), whose sum is σ = 290695680. Its totient is φ = 22477824.

The previous prime is 83640773. The next prime is 83640839. The reversal of 83640816 is 61804638.

It is a happy number.

83640816 is a `hidden beast` number, since 8 + 3 + 640 + 8 + 1 + 6 = 666.

It is a super-2 number, since 2×83640816² = 13991572202291712, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50595 + ... + 52221.

It is an arithmetic number, because the mean of its divisors is an integer number (1816848).

Almost surely, 2^83640816 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 83640816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145347840).

83640816 is an abundant number, since it is smaller than the sum of its proper divisors (207054864).

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

83640816 is a wasteful number, since it uses less digits than its factorization.

83640816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 83640816 is about 9145.5353041798. The cubic root of 83640816 is about 437.3267946755.

The spelling of 83640816 in words is "eighty-three million, six hundred forty thousand, eight hundred sixteen".