32490900 has 108 divisors (see below), whose sum is σ = 109714332. Its totient is φ = 7994880.

The previous prime is 32490869. The next prime is 32490907. The reversal of 32490900 is 909423.

It can be written as a sum of positive squares in 6 ways, for example, as 8225424 + 24265476 = 2868^2 + 4926^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32490907) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10312 + ... + 13088.

Almost surely, 2^32490900 is an apocalyptic number.

32490900 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 32490900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54857166).

32490900 is an abundant number, since it is smaller than the sum of its proper divisors (77223432).

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

32490900 is a wasteful number, since it uses less digits than its factorization.

32490900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2810 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 32490900 is about 5700.0789468217. The cubic root of 32490900 is about 319.0954271426.

The spelling of 32490900 in words is "thirty-two million, four hundred ninety thousand, nine hundred".