9407664 has 200 divisors, whose sum is σ = 33488928. Its totient is φ = 2488320.

The previous prime is 9407639. The next prime is 9407677. The reversal of 9407664 is 4667049.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 154194 + ... + 154254.

Almost surely, 2^9407664 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 9407664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16744464).

9407664 is an abundant number, since it is smaller than the sum of its proper divisors (24081264).

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

9407664 is a wasteful number, since it uses less digits than its factorization.

9407664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 9407664 is about 3067.1915492841. The cubic root of 9407664 is about 211.1027703281.

The spelling of 9407664 in words is "nine million, four hundred seven thousand, six hundred sixty-four".