9618400 has 72 divisors (see below), whose sum is σ = 25638984. Its totient is φ = 3494400.

The previous prime is 9618391. The next prime is 9618403. The reversal of 9618400 is 48169.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9618403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8254 + ... + 9346.

It is an arithmetic number, because the mean of its divisors is an integer number (356097).

Almost surely, 2^9618400 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 9618400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12819492).

9618400 is an abundant number, since it is smaller than the sum of its proper divisors (16020584).

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

9618400 is a wasteful number, since it uses less digits than its factorization.

9618400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 9618400 is about 3101.3545427764. The cubic root of 9618400 is about 212.6674113283.

It can be divided in two parts, 96 and 18400, that added together give a square (18496 = 136²).

The spelling of 9618400 in words is "nine million, six hundred eighteen thousand, four hundred".