83026680 has 128 divisors (see below), whose sum is σ = 280627200. Its totient is φ = 19468800.

The previous prime is 83026667. The next prime is 83026687. The reversal of 83026680 is 8662038.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83026687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39906 + ... + 41934.

It is an arithmetic number, because the mean of its divisors is an integer number (2192400).

Almost surely, 2^83026680 is an apocalyptic number.

83026680 is the 7440-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83026680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140313600).

83026680 is an abundant number, since it is smaller than the sum of its proper divisors (197600520).

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

83026680 is a wasteful number, since it uses less digits than its factorization.

83026680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 83026680 is about 9111.8977167218. The cubic root of 83026680 is about 436.2538011125.

The spelling of 83026680 in words is "eighty-three million, twenty-six thousand, six hundred eighty".