32504940 has 144 divisors (see below), whose sum is σ = 110073600. Its totient is φ = 7709184.

The previous prime is 32504939. The next prime is 32504951. The reversal of 32504940 is 4940523.

It is a super-2 number, since 2×32504940² = 2113142248807200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67621 + ... + 68099.

It is an arithmetic number, because the mean of its divisors is an integer number (764400).

Almost surely, 2^32504940 is an apocalyptic number.

32504940 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 32504940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55036800).

32504940 is an abundant number, since it is smaller than the sum of its proper divisors (77568660).

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

32504940 is a wasteful number, since it uses less digits than its factorization.

32504940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 32504940 is about 5701.3103756943. The cubic root of 32504940 is about 319.1413831347.

The spelling of 32504940 in words is "thirty-two million, five hundred four thousand, nine hundred forty".