83682280 has 64 divisors (see below), whose sum is σ = 214358400. Its totient is φ = 29103360.

The previous prime is 83682259. The next prime is 83682281. The reversal of 83682280 is 8228638.

It is not an unprimeable number, because it can be changed into a prime (83682281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5986 + ... + 14254.

It is an arithmetic number, because the mean of its divisors is an integer number (3349350).

Almost surely, 2^83682280 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 83682280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107179200).

83682280 is an abundant number, since it is smaller than the sum of its proper divisors (130676120).

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

83682280 is a wasteful number, since it uses less digits than its factorization.

83682280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8314 (or 8310 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 83682280 is about 9147.8019217733. The cubic root of 83682280 is about 437.3990493611.

It can be divided in two parts, 8368 and 2280, that added together give a cube (10648 = 22³).

The spelling of 83682280 in words is "eighty-three million, six hundred eighty-two thousand, two hundred eighty".