32252640 has 192 divisors, whose sum is σ = 120476160. Its totient is φ = 7096320.

The previous prime is 32252639. The next prime is 32252651. The reversal of 32252640 is 4625223.

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

It is a self number, because there is not a number n which added to its sum of digits gives 32252640.

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 31 ways as a sum of consecutive naturals, for example, 97275 + ... + 97605.

It is an arithmetic number, because the mean of its divisors is an integer number (627480).

Almost surely, 2^32252640 is an apocalyptic number.

32252640 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 32252640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60238080).

32252640 is an abundant number, since it is smaller than the sum of its proper divisors (88223520).

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

32252640 is a wasteful number, since it uses less digits than its factorization.

32252640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 377 counting only the distinct ones).

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

The square root of 32252640 is about 5679.1407800828. The cubic root of 32252640 is about 318.3135233112.

Adding to 32252640 its reverse (4625223), we get a palindrome (36877863).

The spelling of 32252640 in words is "thirty-two million, two hundred fifty-two thousand, six hundred forty".