1135088640 has 880 divisors, whose sum is σ = 5136037632. Its totient is φ = 233570304.

The previous prime is 1135088629. The next prime is 1135088641. The reversal of 1135088640 is 468805311.

1135088640 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 0 + 8 + 8 + 640 = 666.

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 = 1135088595 and 1135088604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135088641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49351669 + ... + 49351691.

Almost surely, 2^1135088640 is an apocalyptic number.

1135088640 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 1135088640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2568018816).

1135088640 is an abundant number, since it is smaller than the sum of its proper divisors (4000948992).

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

1135088640 is a wasteful number, since it uses less digits than its factorization.

1135088640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1135088640 is about 33691.0765633869. The cubic root of 1135088640 is about 1043.1415852972.

The spelling of 1135088640 in words is "one billion, one hundred thirty-five million, eighty-eight thousand, six hundred forty".