953542656 has 144 divisors (see below), whose sum is σ = 3005009280. Its totient is φ = 288890880.

The previous prime is 953542559. The next prime is 953542661. The reversal of 953542656 is 656245359.

953542656 is a `hidden beast` number, since 9 + 53 + 542 + 6 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 200401 + ... + 205103.

It is an arithmetic number, because the mean of its divisors is an integer number (20868120).

Almost surely, 2^953542656 is an apocalyptic number.

953542656 is a gapful number since it is divisible by the number (96) 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 953542656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502504640).

953542656 is an abundant number, since it is smaller than the sum of its proper divisors (2051466624).

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

953542656 is a wasteful number, since it uses less digits than its factorization.

953542656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4742 (or 4719 counting only the distinct ones).

The product of its digits is 972000, while the sum is 45.

The square root of 953542656 is about 30879.4860060850. The cubic root of 953542656 is about 984.2680213781.

The spelling of 953542656 in words is "nine hundred fifty-three million, five hundred forty-two thousand, six hundred fifty-six".