32253144 has 128 divisors (see below), whose sum is σ = 103956480. Its totient is φ = 8092800.

The previous prime is 32253121. The next prime is 32253149. The reversal of 32253144 is 44135223.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32253149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57007 + ... + 57569.

It is an arithmetic number, because the mean of its divisors is an integer number (812160).

Almost surely, 2^32253144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32253144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51978240).

32253144 is an abundant number, since it is smaller than the sum of its proper divisors (71703336).

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

32253144 is a wasteful number, since it uses less digits than its factorization.

32253144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 617 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 32253144 is about 5679.1851528190. The cubic root of 32253144 is about 318.3151813582.

Adding to 32253144 its reverse (44135223), we get a palindrome (76388367).

The spelling of 32253144 in words is "thirty-two million, two hundred fifty-three thousand, one hundred forty-four".