83160432 has 120 divisors (see below), whose sum is σ = 245494704. Its totient is φ = 27247104.

The previous prime is 83160431. The next prime is 83160463. The reversal of 83160432 is 23406138.

It is a happy number.

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 = 83160396 and 83160405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83160431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283678 + ... + 283970.

Almost surely, 2^83160432 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 83160432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122747352).

83160432 is an abundant number, since it is smaller than the sum of its proper divisors (162334272).

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

83160432 is a wasteful number, since it uses less digits than its factorization.

83160432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 83160432 is about 9119.2341783727. The cubic root of 83160432 is about 436.4879367481.

The spelling of 83160432 in words is "eighty-three million, one hundred sixty thousand, four hundred thirty-two".