1053792000 has 216 divisors, whose sum is σ = 3792887280. Its totient is φ = 280934400.

The previous prime is 1053791957. The next prime is 1053792001. The reversal of 1053792000 is 2973501.

It is a super-2 number, since 2×1053792000² = 2220955158528000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053792001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286171 + ... + 289829.

Almost surely, 2^1053792000 is an apocalyptic number.

1053792000 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 1053792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896443640).

1053792000 is an abundant number, since it is smaller than the sum of its proper divisors (2739095280).

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

1053792000 is an equidigital number, since it uses as much as digits as its factorization.

1053792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3696 (or 3669 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 1053792000 is about 32462.1625896982. The cubic root of 1053792000 is about 1017.6184344590.

The spelling of 1053792000 in words is "one billion, fifty-three million, seven hundred ninety-two thousand".