9201888 has 72 divisors (see below), whose sum is σ = 26535600. Its totient is φ = 3024384.

The previous prime is 9201883. The next prime is 9201901. The reversal of 9201888 is 8881029.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9201883) 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, 25453 + ... + 25811.

It is an arithmetic number, because the mean of its divisors is an integer number (368550).

Almost surely, 2^9201888 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 9201888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13267800).

9201888 is an abundant number, since it is smaller than the sum of its proper divisors (17333712).

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

9201888 is a wasteful number, since it uses less digits than its factorization.

9201888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 9201888 is about 3033.4613892384. The cubic root of 9201888 is about 209.5522432617.

The spelling of 9201888 in words is "nine million, two hundred one thousand, eight hundred eighty-eight".