32664816 has 80 divisors (see below), whose sum is σ = 94993920. Its totient is φ = 10745280.

The previous prime is 32664791. The next prime is 32664833. The reversal of 32664816 is 61846623.

32664816 is a `hidden beast` number, since 3 + 2 + 6 + 648 + 1 + 6 = 666.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35401 + ... + 36311.

It is an arithmetic number, because the mean of its divisors is an integer number (1187424).

Almost surely, 2^32664816 is an apocalyptic number.

32664816 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 32664816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47496960).

32664816 is an abundant number, since it is smaller than the sum of its proper divisors (62329104).

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

32664816 is a wasteful number, since it uses less digits than its factorization.

32664816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 999 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 32664816 is about 5715.3141645932. The cubic root of 32664816 is about 319.6637614059.

The spelling of 32664816 in words is "thirty-two million, six hundred sixty-four thousand, eight hundred sixteen".