9157968 has 160 divisors (see below), whose sum is σ = 29462400. Its totient is φ = 2709504.

The previous prime is 9157961. The next prime is 9157969. The reversal of 9157968 is 8697519.

9157968 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9157961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212955 + ... + 212997.

It is an arithmetic number, because the mean of its divisors is an integer number (184140).

Almost surely, 2^9157968 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 9157968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14731200).

9157968 is an abundant number, since it is smaller than the sum of its proper divisors (20304432).

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

9157968 is a wasteful number, since it uses less digits than its factorization.

9157968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 94 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 9157968 is about 3026.2134756160. The cubic root of 9157968 is about 209.2183184522.

The spelling of 9157968 in words is "nine million, one hundred fifty-seven thousand, nine hundred sixty-eight".