83290680 has 384 divisors, whose sum is σ = 330220800. Its totient is φ = 18662400.

The previous prime is 83290679. The next prime is 83290687. The reversal of 83290680 is 8609238.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83290687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2031460 + ... + 2031500.

It is an arithmetic number, because the mean of its divisors is an integer number (859950).

Almost surely, 2^83290680 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 83290680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165110400).

83290680 is an abundant number, since it is smaller than the sum of its proper divisors (246930120).

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

83290680 is a wasteful number, since it uses less digits than its factorization.

83290680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 83290680 is about 9126.3727734517. The cubic root of 83290680 is about 436.7156974125.

The spelling of 83290680 in words is "eighty-three million, two hundred ninety thousand, six hundred eighty".