9970800 has 120 divisors (see below), whose sum is σ = 36533376. Its totient is φ = 2277120.

The previous prime is 9970787. The next prime is 9970811. The reversal of 9970800 is 80799.

It is a tau number, because it is divible by the number of its divisors (120).

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, 7807 + ... + 8993.

Almost surely, 2^9970800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9970800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18266688).

9970800 is an abundant number, since it is smaller than the sum of its proper divisors (26562576).

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

9970800 is a wasteful number, since it uses less digits than its factorization.

9970800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 9970800 is about 3157.6573594993. The cubic root of 9970800 is about 215.2335662553.

The spelling of 9970800 in words is "nine million, nine hundred seventy thousand, eight hundred".