32097120 has 96 divisors (see below), whose sum is σ = 110315520. Its totient is φ = 7779840.

The previous prime is 32097097. The next prime is 32097187. The reversal of 32097120 is 2179023.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×32097120² = 2060450224588800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2241 + ... + 8319.

It is an arithmetic number, because the mean of its divisors is an integer number (1149120).

Almost surely, 2^32097120 is an apocalyptic number.

32097120 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 32097120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55157760).

32097120 is an abundant number, since it is smaller than the sum of its proper divisors (78218400).

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

32097120 is a wasteful number, since it uses less digits than its factorization.

32097120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6108 (or 6100 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 32097120 is about 5665.4320223616. The cubic root of 32097120 is about 317.8010701553.

The spelling of 32097120 in words is "thirty-two million, ninety-seven thousand, one hundred twenty".