9970400 has 108 divisors (see below), whose sum is σ = 27013896. Its totient is φ = 3590400.

The previous prime is 9970397. The next prime is 9970409. The reversal of 9970400 is 40799.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9970409) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 96749 + ... + 96851.

Almost surely, 2^9970400 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 9970400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13506948).

9970400 is an abundant number, since it is smaller than the sum of its proper divisors (17043496).

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

9970400 is a wasteful number, since it uses less digits than its factorization.

9970400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 9970400 is about 3157.5940207696. The cubic root of 9970400 is about 215.2306880316.

It can be divided in two parts, 99 and 70400, that multiplied together give a square (6969600 = 2640²).

The spelling of 9970400 in words is "nine million, nine hundred seventy thousand, four hundred".