32997120 has 144 divisors (see below), whose sum is σ = 113662752. Its totient is φ = 8110080.

The previous prime is 32997103. The next prime is 32997121. The reversal of 32997120 is 2179923.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32997121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49590 + ... + 50250.

Almost surely, 2^32997120 is an apocalyptic number.

32997120 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 32997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56831376).

32997120 is an abundant number, since it is smaller than the sum of its proper divisors (80665632).

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

32997120 is a wasteful number, since it uses less digits than its factorization.

32997120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 32997120 is about 5744.3119692440. The cubic root of 32997120 is about 320.7441017192.

The spelling of 32997120 in words is "thirty-two million, nine hundred ninety-seven thousand, one hundred twenty".