83532180 has 96 divisors (see below), whose sum is σ = 246234240. Its totient is φ = 21127680.

The previous prime is 83532179. The next prime is 83532223. The reversal of 83532180 is 8123538.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105747 + ... + 106533.

It is an arithmetic number, because the mean of its divisors is an integer number (2564940).

Almost surely, 2^83532180 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 83532180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123117120).

83532180 is an abundant number, since it is smaller than the sum of its proper divisors (162702060).

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

83532180 is a wasteful number, since it uses less digits than its factorization.

83532180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 83532180 is about 9139.5940828901. The cubic root of 83532180 is about 437.1373735299.

The spelling of 83532180 in words is "eighty-three million, five hundred thirty-two thousand, one hundred eighty".