32430960 has 120 divisors (see below), whose sum is σ = 112504704. Its totient is φ = 8363520.

The previous prime is 32430949. The next prime is 32430971. The reversal of 32430960 is 6903423.

It is an interprime number because it is at equal distance from previous prime (32430949) and next prime (32430971).

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 21594 + ... + 23046.

Almost surely, 2^32430960 is an apocalyptic number.

32430960 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 32430960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56252352).

32430960 is an abundant number, since it is smaller than the sum of its proper divisors (80073744).

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

32430960 is a wasteful number, since it uses less digits than its factorization.

32430960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 32430960 is about 5694.8186977287. The cubic root of 32430960 is about 318.8990813586.

The spelling of 32430960 in words is "thirty-two million, four hundred thirty thousand, nine hundred sixty".