32968400 has 30 divisors (see below), whose sum is σ = 79207542. Its totient is φ = 13187200.

The previous prime is 32968379. The next prime is 32968417. The reversal of 32968400 is 486923.

It can be written as a sum of positive squares in 3 ways, for example, as 9193024 + 23775376 = 3032^2 + 4876^2 .

It is a congruent number.

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, 40811 + ... + 41610.

Almost surely, 2^32968400 is an apocalyptic number.

It is an amenable number.

32968400 is an abundant number, since it is smaller than the sum of its proper divisors (46239142).

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

32968400 is a wasteful number, since it uses less digits than its factorization.

32968400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82439 (or 82428 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 32968400 is about 5741.8115608229. The cubic root of 32968400 is about 320.6510183988.

The spelling of 32968400 in words is "thirty-two million, nine hundred sixty-eight thousand, four hundred".