32848416 has 240 divisors, whose sum is σ = 109771200. Its totient is φ = 9580032.

The previous prime is 32848379. The next prime is 32848433. The reversal of 32848416 is 61484823.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1132690 + ... + 1132718.

It is an arithmetic number, because the mean of its divisors is an integer number (457380).

Almost surely, 2^32848416 is an apocalyptic number.

32848416 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 32848416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54885600).

32848416 is an abundant number, since it is smaller than the sum of its proper divisors (76922784).

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

32848416 is a wasteful number, since it uses less digits than its factorization.

32848416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 76 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 32848416 is about 5731.3537667815. The cubic root of 32848416 is about 320.2615569874.

The spelling of 32848416 in words is "thirty-two million, eight hundred forty-eight thousand, four hundred sixteen".