32448960 has 168 divisors, whose sum is σ = 117683280. Its totient is φ = 8183808.

The previous prime is 32448959. The next prime is 32448989. The reversal of 32448960 is 6984423.

It is a happy number.

32448960 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54424 + ... + 55016.

Almost surely, 2^32448960 is an apocalyptic number.

32448960 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 32448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58841640).

32448960 is an abundant number, since it is smaller than the sum of its proper divisors (85234320).

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

32448960 is a wasteful number, since it uses less digits than its factorization.

32448960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 32448960 is about 5696.3988624393. The cubic root of 32448960 is about 318.9580694552.

It can be divided in two parts, 324 and 48960, that added together give a square (49284 = 222²).

The spelling of 32448960 in words is "thirty-two million, four hundred forty-eight thousand, nine hundred sixty".