1053948672 has 360 divisors, whose sum is σ = 3686116896. Its totient is φ = 293289984.

The previous prime is 1053948647. The next prime is 1053948719. The reversal of 1053948672 is 2768493501.

1053948672 is a `hidden beast` number, since 1 + 0 + 539 + 48 + 6 + 72 = 666.

1053948672 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1053948672² = 2221615606421127168, which contains 22 as substring.

1053948672 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7692988 + ... + 7693124.

It is a 1-persistent number, because it is pandigital, but 2⋅1053948672 = 2107897344 is not.

Almost surely, 2^1053948672 is an apocalyptic number.

1053948672 is a gapful number since it is divisible by the number (12) 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 1053948672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843058448).

1053948672 is an abundant number, since it is smaller than the sum of its proper divisors (2632168224).

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

1053948672 is an equidigital number, since it uses as much as digits as its factorization.

1053948672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1053948672 is about 32464.5756479274. The cubic root of 1053948672 is about 1017.6688632643.

The spelling of 1053948672 in words is "one billion, fifty-three million, nine hundred forty-eight thousand, six hundred seventy-two".