1001953344 has 112 divisors (see below), whose sum is σ = 3208007808. Its totient is φ = 269426688.

The previous prime is 1001953343. The next prime is 1001953411. The reversal of 1001953344 is 4433591001.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (1001953343) 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 15 ways as a sum of consecutive naturals, for example, 922 + ... + 44774.

Almost surely, 2^1001953344 is an apocalyptic number.

1001953344 is a gapful number since it is divisible by the number (14) 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 1001953344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604003904).

1001953344 is an abundant number, since it is smaller than the sum of its proper divisors (2206054464).

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

1001953344 is a wasteful number, since it uses less digits than its factorization.

1001953344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43892 (or 43882 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 1001953344 is about 31653.6466145688. The cubic root of 1001953344 is about 1000.6506911758.

The spelling of 1001953344 in words is "one billion, one million, nine hundred fifty-three thousand, three hundred forty-four".