83630232 has 160 divisors (see below), whose sum is σ = 271814400. Its totient is φ = 23530176.

The previous prime is 83630221. The next prime is 83630233. The reversal of 83630232 is 23203638.

83630232 is a `hidden beast` number, since 8 + 3 + 630 + 23 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 83630196 and 83630205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83630233) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 467119 + ... + 467297.

It is an arithmetic number, because the mean of its divisors is an integer number (1698840).

Almost surely, 2^83630232 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 83630232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135907200).

83630232 is an abundant number, since it is smaller than the sum of its proper divisors (188184168).

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

83630232 is a wasteful number, since it uses less digits than its factorization.

83630232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 83630232 is about 9144.9566428715. The cubic root of 83630232 is about 437.3083472943.

The spelling of 83630232 in words is "eighty-three million, six hundred thirty thousand, two hundred thirty-two".