9741600 has 288 divisors, whose sum is σ = 39372480. Its totient is φ = 2304000.

The previous prime is 9741587. The next prime is 9741649. The reversal of 9741600 is 61479.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6 and base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237580 + ... + 237620.

It is an arithmetic number, because the mean of its divisors is an integer number (136710).

Almost surely, 2^9741600 is an apocalyptic number.

9741600 is a gapful number since it is divisible by the number (90) 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 9741600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19686240).

9741600 is an abundant number, since it is smaller than the sum of its proper divisors (29630880).

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

9741600 is a wasteful number, since it uses less digits than its factorization.

9741600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 9741600 is about 3121.1536328736. The cubic root of 9741600 is about 213.5715654613.

The spelling of 9741600 in words is "nine million, seven hundred forty-one thousand, six hundred".