32996480 has 128 divisors (see below), whose sum is σ = 88862400. Its totient is φ = 11612160.

The previous prime is 32996479. The next prime is 32996501. The reversal of 32996480 is 8469923.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 302666 + ... + 302774.

Almost surely, 2^32996480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44431200).

32996480 is an abundant number, since it is smaller than the sum of its proper divisors (55865920).

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

32996480 is a wasteful number, since it uses less digits than its factorization.

32996480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 32996480 is about 5744.2562616931. The cubic root of 32996480 is about 320.7420280276.

It can be divided in two parts, 3299 and 6480, that added together give a palindrome (9779).

The spelling of 32996480 in words is "thirty-two million, nine hundred ninety-six thousand, four hundred eighty".