954353664 has 240 divisors, whose sum is σ = 3115672560. Its totient is φ = 288645120.

The previous prime is 954353611. The next prime is 954353681. The reversal of 954353664 is 466353459.

954353664 is a `hidden beast` number, since 9 + 54 + 3 + 536 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1824507 + ... + 1825029.

It is an arithmetic number, because the mean of its divisors is an integer number (12981969).

Almost surely, 2^954353664 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 954353664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557836280).

954353664 is an abundant number, since it is smaller than the sum of its proper divisors (2161318896).

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

954353664 is a wasteful number, since it uses less digits than its factorization.

954353664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 539 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 45.

The square root of 954353664 is about 30892.6150398441. The cubic root of 954353664 is about 984.5469891593.

It can be divided in two parts, 95435 and 3664, that added together give a palindrome (99099).

The spelling of 954353664 in words is "nine hundred fifty-four million, three hundred fifty-three thousand, six hundred sixty-four".