32812416 has 192 divisors, whose sum is σ = 116581920. Its totient is φ = 8626176.

The previous prime is 32812393. The next prime is 32812433. The reversal of 32812416 is 61421823.

It is a tau number, because it is divible by the number of its divisors (192).

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 32812416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104676 + ... + 104988.

Almost surely, 2^32812416 is an apocalyptic number.

32812416 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 32812416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58290960).

32812416 is an abundant number, since it is smaller than the sum of its proper divisors (83769504).

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

32812416 is a wasteful number, since it uses less digits than its factorization.

32812416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 338 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 32812416 is about 5728.2122865690. The cubic root of 32812416 is about 320.1445180564.

The spelling of 32812416 in words is "thirty-two million, eight hundred twelve thousand, four hundred sixteen".