83056920 has 32 divisors (see below), whose sum is σ = 249171120. Its totient is φ = 22148480.

The previous prime is 83056913. The next prime is 83056937. The reversal of 83056920 is 2965038.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 345951 + ... + 346190.

Almost surely, 2^83056920 is an apocalyptic number.

It is an amenable number.

83056920 is an abundant number, since it is smaller than the sum of its proper divisors (166114200).

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

83056920 is a wasteful number, since it uses less digits than its factorization.

83056920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692155 (or 692151 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 83056920 is about 9113.5569345893. The cubic root of 83056920 is about 436.3067588430.

It can be divided in two parts, 8305 and 6920, that added together give a triangular number (15225 = T₁₇₄).

The spelling of 83056920 in words is "eighty-three million, fifty-six thousand, nine hundred twenty".