1132896240 has 320 divisors, whose sum is σ = 4605419520. Its totient is φ = 250490880.

The previous prime is 1132896221. The next prime is 1132896251. The reversal of 1132896240 is 426982311.

1132896240 is a `hidden beast` number, since 1 + 1 + 3 + 28 + 9 + 624 + 0 = 666.

It is a super-2 number, since 2×1132896240² = 2566907781212275200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1132896195 and 1132896204.

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, 467512 + ... + 469928.

It is an arithmetic number, because the mean of its divisors is an integer number (14391936).

Almost surely, 2^1132896240 is an apocalyptic number.

1132896240 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 1132896240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2302709760).

1132896240 is an abundant number, since it is smaller than the sum of its proper divisors (3472523280).

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

1132896240 is a wasteful number, since it uses less digits than its factorization.

1132896240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2477 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1132896240 is about 33658.5240318110. The cubic root of 1132896240 is about 1042.4695503761.

The spelling of 1132896240 in words is "one billion, one hundred thirty-two million, eight hundred ninety-six thousand, two hundred forty".