1053336960 has 384 divisors, whose sum is σ = 4069971360. Its totient is φ = 258785280.

The previous prime is 1053336937. The next prime is 1053336961. The reversal of 1053336960 is 696333501.

1053336960 is a `hidden beast` number, since 1 + 0 + 533 + 3 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1053336960² = 2219037502604083200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053336961) 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 47 ways as a sum of consecutive naturals, for example, 2021500 + ... + 2022020.

Almost surely, 2^1053336960 is an apocalyptic number.

1053336960 is a gapful number since it is divisible by the number (10) 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 1053336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034985680).

1053336960 is an abundant number, since it is smaller than the sum of its proper divisors (3016634400).

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

1053336960 is an equidigital number, since it uses as much as digits as its factorization.

1053336960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 1053336960 is about 32455.1530577195. The cubic root of 1053336960 is about 1017.4719400971.

The spelling of 1053336960 in words is "one billion, fifty-three million, three hundred thirty-six thousand, nine hundred sixty".