953544960 has 360 divisors, whose sum is σ = 3619339416. Its totient is φ = 238878720.

The previous prime is 953544941. The next prime is 953544967. The reversal of 953544960 is 69445359.

It can be written as a sum of positive squares in 4 ways, for example, as 156950784 + 796594176 = 12528^2 + 28224^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (953544967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1762290 + ... + 1762830.

Almost surely, 2^953544960 is an apocalyptic number.

953544960 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 953544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809669708).

953544960 is an abundant number, since it is smaller than the sum of its proper divisors (2665794456).

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

953544960 is a wasteful number, since it uses less digits than its factorization.

953544960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 953544960 is about 30879.5233123829. The cubic root of 953544960 is about 984.2688141242.

The spelling of 953544960 in words is "nine hundred fifty-three million, five hundred forty-four thousand, nine hundred sixty".