32964480 has 192 divisors, whose sum is σ = 116953200. Its totient is φ = 8552448.

The previous prime is 32964467. The next prime is 32964493. The reversal of 32964480 is 8446923.

It is a happy number.

32964480 is a `hidden beast` number, since 3 + 2 + 9 + 644 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (32964467) and next prime (32964493).

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

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

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, 339792 + ... + 339888.

Almost surely, 2^32964480 is an apocalyptic number.

32964480 is a gapful number since it is divisible by the number (30) 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 32964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58476600).

32964480 is an abundant number, since it is smaller than the sum of its proper divisors (83988720).

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

32964480 is a wasteful number, since it uses less digits than its factorization.

32964480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 166 counting only the distinct ones).

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

The square root of 32964480 is about 5741.4701949936. The cubic root of 32964480 is about 320.6383092408.

It can be divided in two parts, 3296 and 4480, that added together give a 5-th power (7776 = 6⁵).

The spelling of 32964480 in words is "thirty-two million, nine hundred sixty-four thousand, four hundred eighty".