83486832 has 80 divisors (see below), whose sum is σ = 253400448. Its totient is φ = 23351040.

The previous prime is 83486831. The next prime is 83486839. The reversal of 83486832 is 23868438.

It is a super-2 number, since 2×83486832² = 13940102234792448, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83486831) 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, 783 + ... + 12945.

Almost surely, 2^83486832 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 83486832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126700224).

83486832 is an abundant number, since it is smaller than the sum of its proper divisors (169913616).

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

83486832 is a wasteful number, since it uses less digits than its factorization.

83486832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12198 (or 12192 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 83486832 is about 9137.1128919369. The cubic root of 83486832 is about 437.0582547443.

The spelling of 83486832 in words is "eighty-three million, four hundred eighty-six thousand, eight hundred thirty-two".