954646560 has 480 divisors, whose sum is σ = 4083488640. Its totient is φ = 205037568.

The previous prime is 954646489. The next prime is 954646571. The reversal of 954646560 is 65646459.

954646560 is a `hidden beast` number, since 9 + 5 + 46 + 46 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×954646560² = 1822700109039667200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 1541931 + ... + 1542549.

It is an arithmetic number, because the mean of its divisors is an integer number (8507268).

Almost surely, 2^954646560 is an apocalyptic number.

954646560 is a gapful number since it is divisible by the number (90) 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 954646560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041744320).

954646560 is an abundant number, since it is smaller than the sum of its proper divisors (3128842080).

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

954646560 is a wasteful number, since it uses less digits than its factorization.

954646560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 954646560 is about 30897.3552266209. The cubic root of 954646560 is about 984.6476996856.

The spelling of 954646560 in words is "nine hundred fifty-four million, six hundred forty-six thousand, five hundred sixty".