32251264 has 32 divisors (see below), whose sum is σ = 64627200. Its totient is φ = 16031232.

The previous prime is 32251243. The next prime is 32251273. The reversal of 32251264 is 46215223.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24577 + ... + 25855.

It is an arithmetic number, because the mean of its divisors is an integer number (2019600).

Almost surely, 2^32251264 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 32251264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32313600).

32251264 is an abundant number, since it is smaller than the sum of its proper divisors (32375936).

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

32251264 is a wasteful number, since it uses less digits than its factorization.

32251264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1478 counting only the distinct ones).

The product of its digits is 2880, while the sum is 25.

The square root of 32251264 is about 5679.0196337044. The cubic root of 32251264 is about 318.3089964917.

Adding to 32251264 its reverse (46215223), we get a palindrome (78466487).

It can be divided in two parts, 3225 and 1264, that added together give a square (4489 = 67²).

The spelling of 32251264 in words is "thirty-two million, two hundred fifty-one thousand, two hundred sixty-four".