32790960 has 320 divisors, whose sum is σ = 128563200. Its totient is φ = 7630848.

The previous prime is 32790959. The next prime is 32790997. The reversal of 32790960 is 6909723.

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

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 63 ways as a sum of consecutive naturals, for example, 697657 + ... + 697703.

It is an arithmetic number, because the mean of its divisors is an integer number (401760).

Almost surely, 2^32790960 is an apocalyptic number.

32790960 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 32790960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64281600).

32790960 is an abundant number, since it is smaller than the sum of its proper divisors (95772240).

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

32790960 is a wasteful number, since it uses less digits than its factorization.

32790960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 32790960 is about 5726.3391446892. The cubic root of 32790960 is about 320.0747221339.

The spelling of 32790960 in words is "thirty-two million, seven hundred ninety thousand, nine hundred sixty".