9141600 has 144 divisors (see below), whose sum is σ = 32154192. Its totient is φ = 2242560.

The previous prime is 9141593. The next prime is 9141607. The reversal of 9141600 is 61419.

9141600 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9141593) and next prime (9141607).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9141607) 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, 31054 + ... + 31346.

It is an arithmetic number, because the mean of its divisors is an integer number (223293).

Almost surely, 2^9141600 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 9141600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16077096).

9141600 is an abundant number, since it is smaller than the sum of its proper divisors (23012592).

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

9141600 is a wasteful number, since it uses less digits than its factorization.

9141600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 9141600 is about 3023.5078964673. The cubic root of 9141600 is about 209.0935990947.

The spelling of 9141600 in words is "nine million, one hundred forty-one thousand, six hundred".