1133907840 has 384 divisors, whose sum is σ = 4444221600. Its totient is φ = 264093696.

The previous prime is 1133907757. The next prime is 1133907857. The reversal of 1133907840 is 487093311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1133907840² = 2571493979226931200, 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 = 1133907795 and 1133907804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1422322 + ... + 1423118.

Almost surely, 2^1133907840 is an apocalyptic number.

1133907840 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 1133907840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2222110800).

1133907840 is an abundant number, since it is smaller than the sum of its proper divisors (3310313760).

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

1133907840 is a wasteful number, since it uses less digits than its factorization.

1133907840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1133907840 is about 33673.5480756038. The cubic root of 1133907840 is about 1042.7797430873.

The spelling of 1133907840 in words is "one billion, one hundred thirty-three million, nine hundred seven thousand, eight hundred forty".