7301664 has 84 divisors (see below), whose sum is σ = 21621726. Its totient is φ = 2426112.

The previous prime is 7301641. The next prime is 7301677. The reversal of 7301664 is 4661037.

It can be written as a sum of positive squares in only one way, i.e., 7290000 + 11664 = 2700^2 + 108^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 13 ways as a sum of consecutive naturals, for example, 23172 + ... + 23484.

Almost surely, 2^7301664 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 7301664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10810863).

7301664 is an abundant number, since it is smaller than the sum of its proper divisors (14320062).

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

7301664 is an equidigital number, since it uses as much as digits as its factorization.

7301664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 7301664 is about 2702.1591366905. The cubic root of 7301664 is about 194.0024798634.

The spelling of 7301664 in words is "seven million, three hundred one thousand, six hundred sixty-four".