32253120 has 112 divisors (see below), whose sum is σ = 113812320. Its totient is φ = 8598528.

The previous prime is 32253103. The next prime is 32253121. The reversal of 32253120 is 2135223.

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

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 32253093 and 32253102.

It is not an unprimeable number, because it can be changed into a prime (32253121) 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, 6774 + ... + 10506.

Almost surely, 2^32253120 is an apocalyptic number.

32253120 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 32253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56906160).

32253120 is an abundant number, since it is smaller than the sum of its proper divisors (81559200).

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

32253120 is a wasteful number, since it uses less digits than its factorization.

32253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3759 (or 3743 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 32253120 is about 5679.1830398394. The cubic root of 32253120 is about 318.3151024040.

Adding to 32253120 its reverse (2135223), we get a palindrome (34388343).

The spelling of 32253120 in words is "thirty-two million, two hundred fifty-three thousand, one hundred twenty".