32397120 has 168 divisors, whose sum is σ = 127430784. Its totient is φ = 7400448.

The previous prime is 32397119. The next prime is 32397143. The reversal of 32397120 is 2179323.

It is a tau number, because it is divible by the number of its divisors (168).

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 23 ways as a sum of consecutive naturals, for example, 19357 + ... + 20963.

Almost surely, 2^32397120 is an apocalyptic number.

32397120 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 32397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63715392).

32397120 is an abundant number, since it is smaller than the sum of its proper divisors (95033664).

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

32397120 is a wasteful number, since it uses less digits than its factorization.

32397120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 32397120 is about 5691.8468004682. The cubic root of 32397120 is about 318.7881246209.

The spelling of 32397120 in words is "thirty-two million, three hundred ninety-seven thousand, one hundred twenty".