9457968 has 80 divisors (see below), whose sum is σ = 27498240. Its totient is φ = 2779392.

The previous prime is 9457963. The next prime is 9457969. The reversal of 9457968 is 8697549.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (9457961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14023 + ... + 14681.

It is an arithmetic number, because the mean of its divisors is an integer number (343728).

Almost surely, 2^9457968 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 9457968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13749120).

9457968 is an abundant number, since it is smaller than the sum of its proper divisors (18040272).

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

9457968 is a wasteful number, since it uses less digits than its factorization.

9457968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 700 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 9457968 is about 3075.3809520123. The cubic root of 9457968 is about 211.4783663021.

The spelling of 9457968 in words is "nine million, four hundred fifty-seven thousand, nine hundred sixty-eight".