32013960 has 128 divisors (see below), whose sum is σ = 106444800. Its totient is φ = 7637760.

The previous prime is 32013929. The next prime is 32013983. The reversal of 32013960 is 6931023.

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

It is a self number, because there is not a number n which added to its sum of digits gives 32013960.

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, 104127 + ... + 104433.

It is an arithmetic number, because the mean of its divisors is an integer number (831600).

Almost surely, 2^32013960 is an apocalyptic number.

32013960 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 32013960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53222400).

32013960 is an abundant number, since it is smaller than the sum of its proper divisors (74430840).

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

32013960 is a wasteful number, since it uses less digits than its factorization.

32013960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 32013960 is about 5658.0880162825. The cubic root of 32013960 is about 317.5263705958.

Adding to 32013960 its reverse (6931023), we get a palindrome (38944983).

The spelling of 32013960 in words is "thirty-two million, thirteen thousand, nine hundred sixty".