1133890560 has 264 divisors, whose sum is σ = 4287990096. Its totient is φ = 274759680.

The previous prime is 1133890529. The next prime is 1133890561. The reversal of 1133890560 is 650983311.

It is a happy number.

1133890560 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 8 + 90 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×1133890560² = 2571415604114227200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1133890561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 505762 + ... + 507998.

Almost surely, 2^1133890560 is an apocalyptic number.

1133890560 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 1133890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143995048).

1133890560 is an abundant number, since it is smaller than the sum of its proper divisors (3154099536).

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

1133890560 is a wasteful number, since it uses less digits than its factorization.

1133890560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2279 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1133890560 is about 33673.2914934076. The cubic root of 1133890560 is about 1042.7744459708.

The spelling of 1133890560 in words is "one billion, one hundred thirty-three million, eight hundred ninety thousand, five hundred sixty".