4097664 has 48 divisors (see below), whose sum is σ = 11794770. Its totient is φ = 1365504.

The previous prime is 4097647. The next prime is 4097683. The reversal of 4097664 is 4667904.

It can be written as a sum of positive squares in only one way, i.e., 3968064 + 129600 = 1992^2 + 360^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 627 + ... + 2930.

Almost surely, 2^4097664 is an apocalyptic number.

It is an amenable number.

4097664 is an abundant number, since it is smaller than the sum of its proper divisors (7697106).

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

4097664 is a wasteful number, since it uses less digits than its factorization.

4097664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3577 (or 3562 counting only the distinct ones).

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

The square root of 4097664 is about 2024.2687568601. The cubic root of 4097664 is about 160.0216637333.

It can be divided in two parts, 4097 and 664, that added together give a square (4761 = 69²).

The spelling of 4097664 in words is "four million, ninety-seven thousand, six hundred sixty-four".