1953120896 has 32 divisors (see below), whose sum is σ = 3956947200. Its totient is φ = 960004864.

The previous prime is 1953120857. The next prime is 1953120937. The reversal of 1953120896 is 6980213591.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 121760 + ... + 136863.

It is an arithmetic number, because the mean of its divisors is an integer number (123654600).

Almost surely, 2^1953120896 is an apocalyptic number.

1953120896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1953120896 is an abundant number, since it is smaller than the sum of its proper divisors (2003826304).

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

1953120896 is an equidigital number, since it uses as much as digits as its factorization.

1953120896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258696 (or 258684 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 44.

The square root of 1953120896 is about 44194.1273926751. The cubic root of 1953120896 is about 1249.9991244794. Note that the first 3 decimals are identical.

The spelling of 1953120896 in words is "one billion, nine hundred fifty-three million, one hundred twenty thousand, eight hundred ninety-six".