953349168 has 80 divisors (see below), whose sum is σ = 2598940800. Its totient is φ = 300303360.

The previous prime is 953349127. The next prime is 953349191. The reversal of 953349168 is 861943359.

It is a super-2 number, since 2×953349168² = 1817749272252584448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 446728 + ... + 448856.

It is an arithmetic number, because the mean of its divisors is an integer number (32486760).

Almost surely, 2^953349168 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 953349168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299470400).

953349168 is an abundant number, since it is smaller than the sum of its proper divisors (1645591632).

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

953349168 is a wasteful number, since it uses less digits than its factorization.

953349168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2650 (or 2644 counting only the distinct ones).

The product of its digits is 699840, while the sum is 48.

The square root of 953349168 is about 30876.3528934361. The cubic root of 953349168 is about 984.2014426633.

The spelling of 953349168 in words is "nine hundred fifty-three million, three hundred forty-nine thousand, one hundred sixty-eight".