83626920 has 192 divisors, whose sum is σ = 297198720. Its totient is φ = 20270592.

The previous prime is 83626909. The next prime is 83626931. The reversal of 83626920 is 2962638.

83626920 is a `hidden beast` number, since 8 + 3 + 626 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (83626909) and next prime (83626931).

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 47 ways as a sum of consecutive naturals, for example, 500677 + ... + 500843.

It is an arithmetic number, because the mean of its divisors is an integer number (1547910).

Almost surely, 2^83626920 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 83626920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148599360).

83626920 is an abundant number, since it is smaller than the sum of its proper divisors (213571800).

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

83626920 is a wasteful number, since it uses less digits than its factorization.

83626920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 83626920 is about 9144.7755576613. The cubic root of 83626920 is about 437.3025743247.

The spelling of 83626920 in words is "eighty-three million, six hundred twenty-six thousand, nine hundred twenty".