947664 has 30 divisors (see below), whose sum is σ = 2652546. Its totient is φ = 315840.

The previous prime is 947659. The next prime is 947707. The reversal of 947664 is 466749.

It can be written as a sum of positive squares in only one way, i.e., 705600 + 242064 = 840^2 + 492^2 .

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 947664.

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 5 ways as a sum of consecutive naturals, for example, 3147 + ... + 3434.

2⁹⁴⁷⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

947664 is an abundant number, since it is smaller than the sum of its proper divisors (1704882).

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

947664 is a wasteful number, since it uses less digits than its factorization.

947664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6595 (or 6586 counting only the distinct ones).

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

The square root of 947664 is about 973.4803541931. The cubic root of 947664 is about 98.2241157072.

The spelling of 947664 in words is "nine hundred forty-seven thousand, six hundred sixty-four".