32991960 has 64 divisors (see below), whose sum is σ = 99521280. Its totient is φ = 8749440.

The previous prime is 32991947. The next prime is 32991983. The reversal of 32991960 is 6919923.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24669 + ... + 25971.

It is an arithmetic number, because the mean of its divisors is an integer number (1555020).

Almost surely, 2^32991960 is an apocalyptic number.

32991960 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 32991960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49760640).

32991960 is an abundant number, since it is smaller than the sum of its proper divisors (66529320).

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

32991960 is a wasteful number, since it uses less digits than its factorization.

32991960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 39.

The square root of 32991960 is about 5743.8628117322. The cubic root of 32991960 is about 320.7273818171.

The spelling of 32991960 in words is "thirty-two million, nine hundred ninety-one thousand, nine hundred sixty".