9137664 has 80 divisors (see below), whose sum is σ = 27089040. Its totient is φ = 3041280.

The previous prime is 9137659. The next prime is 9137669. The reversal of 9137664 is 4667319.

It is an interprime number because it is at equal distance from previous prime (9137659) and next prime (9137669).

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9137669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13494 + ... + 14154.

It is an arithmetic number, because the mean of its divisors is an integer number (338613).

Almost surely, 2^9137664 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 9137664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13544520).

9137664 is an abundant number, since it is smaller than the sum of its proper divisors (17951376).

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

9137664 is an equidigital number, since it uses as much as digits as its factorization.

9137664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 666 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 9137664 is about 3022.8569268161. The cubic root of 9137664 is about 209.0635857290.

It can be divided in two parts, 9137 and 664, that added together give a square (9801 = 99²).

The spelling of 9137664 in words is "nine million, one hundred thirty-seven thousand, six hundred sixty-four".