1053190320 has 360 divisors, whose sum is σ = 4139953776. Its totient is φ = 219534336.

The previous prime is 1053190319. The next prime is 1053190337. The reversal of 1053190320 is 230913501.

It is a happy number.

1053190320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1053190320² = 2218419700283404800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12688999 + ... + 12689081.

Almost surely, 2^1053190320 is an apocalyptic number.

1053190320 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 1053190320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2069976888).

1053190320 is an abundant number, since it is smaller than the sum of its proper divisors (3086763456).

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

1053190320 is a wasteful number, since it uses less digits than its factorization.

1053190320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 1053190320 is about 32452.8938617190. The cubic root of 1053190320 is about 1017.4247222187.

The spelling of 1053190320 in words is "one billion, fifty-three million, one hundred ninety thousand, three hundred twenty".