32430720 has 256 divisors, whose sum is σ = 125337600. Its totient is φ = 6967296.

The previous prime is 32430719. The next prime is 32430733. The reversal of 32430720 is 2703423.

32430720 = 441² + 442² + ... + 567².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255297 + ... + 255423.

It is an arithmetic number, because the mean of its divisors is an integer number (489600).

Almost surely, 2^32430720 is an apocalyptic number.

32430720 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 32430720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62668800).

32430720 is an abundant number, since it is smaller than the sum of its proper divisors (92906880).

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

32430720 is a wasteful number, since it uses less digits than its factorization.

32430720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 32430720 is about 5694.7976259038. The cubic root of 32430720 is about 318.8982947032.

The spelling of 32430720 in words is "thirty-two million, four hundred thirty thousand, seven hundred twenty".