9973600 has 144 divisors (see below), whose sum is σ = 30185568. Its totient is φ = 3133440.

The previous prime is 9973597. The next prime is 9973603. The reversal of 9973600 is 63799.

It is an interprime number because it is at equal distance from previous prime (9973597) and next prime (9973603).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9973603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72732 + ... + 72868.

It is an arithmetic number, because the mean of its divisors is an integer number (209622).

Almost surely, 2^9973600 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 9973600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15092784).

9973600 is an abundant number, since it is smaller than the sum of its proper divisors (20211968).

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

9973600 is a wasteful number, since it uses less digits than its factorization.

9973600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 34.

The square root of 9973600 is about 3158.1006950381. The cubic root of 9973600 is about 215.2537116659.

The spelling of 9973600 in words is "nine million, nine hundred seventy-three thousand, six hundred".