32612832 has 108 divisors (see below), whose sum is σ = 107931096. Its totient is φ = 9313920.

The previous prime is 32612831. The next prime is 32612887. The reversal of 32612832 is 23821623.

It is a super-2 number, since 2×32612832² = 2127193622120448, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 32612796 and 32612805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32612831) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12957 + ... + 15267.

It is an arithmetic number, because the mean of its divisors is an integer number (999362).

Almost surely, 2^32612832 is an apocalyptic number.

32612832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32612832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53965548).

32612832 is an abundant number, since it is smaller than the sum of its proper divisors (75318264).

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

32612832 is a wasteful number, since it uses less digits than its factorization.

32612832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2341 (or 2323 counting only the distinct ones).

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

The square root of 32612832 is about 5710.7645722793. The cubic root of 32612832 is about 319.4940964473.

The spelling of 32612832 in words is "thirty-two million, six hundred twelve thousand, eight hundred thirty-two".