32391216 has 180 divisors, whose sum is σ = 107968536. Its totient is φ = 9060480.

The previous prime is 32391211. The next prime is 32391251. The reversal of 32391216 is 61219323.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a self number, because there is not a number n which added to its sum of digits gives 32391216.

It is not an unprimeable number, because it can be changed into a prime (32391211) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2491626 + ... + 2491638.

Almost surely, 2^32391216 is an apocalyptic number.

32391216 is a gapful number since it is divisible by the number (36) 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 32391216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53984268).

32391216 is an abundant number, since it is smaller than the sum of its proper divisors (75577320).

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

32391216 is a wasteful number, since it uses less digits than its factorization.

32391216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 29 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 32391216 is about 5691.3281402499. The cubic root of 32391216 is about 318.7687582963.

The spelling of 32391216 in words is "thirty-two million, three hundred ninety-one thousand, two hundred sixteen".