83880324 has 72 divisors (see below), whose sum is σ = 232727040. Its totient is φ = 25262400.

The previous prime is 83880317. The next prime is 83880331. The reversal of 83880324 is 42308838.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (83880317) and next prime (83880331).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75082 + ... + 76190.

It is an arithmetic number, because the mean of its divisors is an integer number (3232320).

Almost surely, 2^83880324 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 83880324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116363520).

83880324 is an abundant number, since it is smaller than the sum of its proper divisors (148846716).

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

83880324 is a wasteful number, since it uses less digits than its factorization.

83880324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 83880324 is about 9158.6202017553. The cubic root of 83880324 is about 437.7438296878.

The spelling of 83880324 in words is "eighty-three million, eight hundred eighty thousand, three hundred twenty-four".