32460720 has 80 divisors (see below), whose sum is σ = 103898112. Its totient is φ = 8375040.

The previous prime is 32460709. The next prime is 32460731. The reversal of 32460720 is 2706423.

It is an interprime number because it is at equal distance from previous prime (32460709) and next prime (32460731).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 5259 + ... + 9621.

Almost surely, 2^32460720 is an apocalyptic number.

32460720 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 32460720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51949056).

32460720 is an abundant number, since it is smaller than the sum of its proper divisors (71437392).

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

32460720 is a wasteful number, since it uses less digits than its factorization.

32460720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4410 (or 4404 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 32460720 is about 5697.4310000210. The cubic root of 32460720 is about 318.9965965642.

The spelling of 32460720 in words is "thirty-two million, four hundred sixty thousand, seven hundred twenty".