32890400 has 36 divisors (see below), whose sum is σ = 80295642. Its totient is φ = 13155840.

The previous prime is 32890337. The next prime is 32890433. The reversal of 32890400 is 409823.

It can be written as a sum of positive squares in 3 ways, for example, as 28344976 + 4545424 = 5324^2 + 2132^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 32890400.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19757 + ... + 21356.

Almost surely, 2^32890400 is an apocalyptic number.

It is an amenable number.

32890400 is an abundant number, since it is smaller than the sum of its proper divisors (47405242).

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

32890400 is a wasteful number, since it uses less digits than its factorization.

32890400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41133 (or 41120 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 32890400 is about 5735.0152571724. The cubic root of 32890400 is about 320.3979424256.

The spelling of 32890400 in words is "thirty-two million, eight hundred ninety thousand, four hundred".