83630580 has 48 divisors (see below), whose sum is σ = 255455424. Its totient is φ = 20273920.

The previous prime is 83630579. The next prime is 83630597. The reversal of 83630580 is 8503638.

It is a super-3 number, since 3×83630580³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62697 + ... + 64016.

It is an arithmetic number, because the mean of its divisors is an integer number (5321988).

Almost surely, 2^83630580 is an apocalyptic number.

It is an amenable number.

83630580 is an abundant number, since it is smaller than the sum of its proper divisors (171824844).

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

83630580 is a wasteful number, since it uses less digits than its factorization.

83630580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126736 (or 126734 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 83630580 is about 9144.9756697325. The cubic root of 83630580 is about 437.3089538656.

The spelling of 83630580 in words is "eighty-three million, six hundred thirty thousand, five hundred eighty".