32972940 has 384 divisors, whose sum is σ = 139991040. Its totient is φ = 6220800.

The previous prime is 32972921. The next prime is 32972969. The reversal of 32972940 is 4927923.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 32972895 and 32972904.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 540510 + ... + 540570.

It is an arithmetic number, because the mean of its divisors is an integer number (364560).

Almost surely, 2^32972940 is an apocalyptic number.

32972940 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 32972940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69995520).

32972940 is an abundant number, since it is smaller than the sum of its proper divisors (107018100).

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

32972940 is a wasteful number, since it uses less digits than its factorization.

32972940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 32972940 is about 5742.2068928244. The cubic root of 32972940 is about 320.6657364198.

The spelling of 32972940 in words is "thirty-two million, nine hundred seventy-two thousand, nine hundred forty".