1132057920 has 448 divisors, whose sum is σ = 4392046080. Its totient is φ = 241532928.

The previous prime is 1132057919. The next prime is 1132057961. The reversal of 1132057920 is 297502311.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7210482 + ... + 7210638.

Almost surely, 2^1132057920 is an apocalyptic number.

1132057920 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 1132057920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196023040).

1132057920 is an abundant number, since it is smaller than the sum of its proper divisors (3259988160).

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

1132057920 is a wasteful number, since it uses less digits than its factorization.

1132057920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 1132057920 is about 33646.0684181674. The cubic root of 1132057920 is about 1042.2123515574.

The spelling of 1132057920 in words is "one billion, one hundred thirty-two million, fifty-seven thousand, nine hundred twenty".