3232080 has 90 divisors (see below), whose sum is σ = 11018826. Its totient is φ = 849024.

The previous prime is 3232067. The next prime is 3232081. The reversal of 3232080 is 802323.

It can be written as a sum of positive squares in only one way, i.e., 2585664 + 646416 = 1608^2 + 804^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×3232080² = 20892682252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3232081) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48207 + ... + 48273.

Almost surely, 2^3232080 is an apocalyptic number.

3232080 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 3232080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5509413).

3232080 is an abundant number, since it is smaller than the sum of its proper divisors (7786746).

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

3232080 is a wasteful number, since it uses less digits than its factorization.

3232080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3232080 is about 1797.7986539098. The cubic root of 3232080 is about 147.8520557156.

It can be divided in two parts, 32320 and 80, that added together give a square (32400 = 180²).

The spelling of 3232080 in words is "three million, two hundred thirty-two thousand, eighty".