16972800 has 264 divisors, whose sum is σ = 63964656. Its totient is φ = 3932160.

The previous prime is 16972771. The next prime is 16972819. The reversal of 16972800 is 827961.

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, 998392 + ... + 998408.

Almost surely, 2^16972800 is an apocalyptic number.

16972800 is a gapful number since it is divisible by the number (10) 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 16972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31982328).

16972800 is an abundant number, since it is smaller than the sum of its proper divisors (46991856).

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

16972800 is a wasteful number, since it uses less digits than its factorization.

16972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 16972800 is about 4119.8058206668. The cubic root of 16972800 is about 256.9909508439.

The spelling of 16972800 in words is "sixteen million, nine hundred seventy-two thousand, eight hundred".