32064480 has 144 divisors (see below), whose sum is σ = 125090784. Its totient is φ = 7326720.

The previous prime is 32064469. The next prime is 32064493. The reversal of 32064480 is 8446023.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×32064480³ (a number of 23 digits) contains 333 as substring.

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, 8490 + ... + 11670.

It is an arithmetic number, because the mean of its divisors is an integer number (868686).

Almost surely, 2^32064480 is an apocalyptic number.

32064480 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 32064480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62545392).

32064480 is an abundant number, since it is smaller than the sum of its proper divisors (93026304).

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

32064480 is a wasteful number, since it uses less digits than its factorization.

32064480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3209 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 32064480 is about 5662.5506620250. The cubic root of 32064480 is about 317.6933082016.

It can be divided in two parts, 3 and 2064480, that multiplied together give a triangular number (6193440 = T₃₅₁₉).

The spelling of 32064480 in words is "thirty-two million, sixty-four thousand, four hundred eighty".