32245920 has 216 divisors, whose sum is σ = 128284884. Its totient is φ = 7354368.

The previous prime is 32245909. The next prime is 32245933. The reversal of 32245920 is 2954223.

It can be written as a sum of positive squares in 2 ways, for example, as 31674384 + 571536 = 5628^2 + 756^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70332 + ... + 70788.

Almost surely, 2^32245920 is an apocalyptic number.

32245920 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 32245920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64142442).

32245920 is an abundant number, since it is smaller than the sum of its proper divisors (96038964).

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

32245920 is a wasteful number, since it uses less digits than its factorization.

32245920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 32245920 is about 5678.5491104683. The cubic root of 32245920 is about 318.2914143670.

The spelling of 32245920 in words is "thirty-two million, two hundred forty-five thousand, nine hundred twenty".