9461664 has 96 divisors (see below), whose sum is σ = 28304640. Its totient is φ = 3073536.

The previous prime is 9461663. The next prime is 9461681. The reversal of 9461664 is 4661649.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (9461663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40492 + ... + 40724.

It is an arithmetic number, because the mean of its divisors is an integer number (294840).

Almost surely, 2^9461664 is an apocalyptic number.

9461664 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9461664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320).

9461664 is an abundant number, since it is smaller than the sum of its proper divisors (18842976).

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

9461664 is a wasteful number, since it uses less digits than its factorization.

9461664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 285 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 9461664 is about 3075.9817944845. The cubic root of 9461664 is about 211.5059100003.

The spelling of 9461664 in words is "nine million, four hundred sixty-one thousand, six hundred sixty-four".