1130588640 has 216 divisors, whose sum is σ = 3941008344. Its totient is φ = 295142400.

The previous prime is 1130588629. The next prime is 1130588651. The reversal of 1130588640 is 468850311.

1130588640 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 5 + 8 + 8 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (1130588629) and next prime (1130588651).

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 = 1130588595 and 1130588604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5358135 + ... + 5358345.

It is an arithmetic number, because the mean of its divisors is an integer number (18245409).

Almost surely, 2^1130588640 is an apocalyptic number.

1130588640 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 1130588640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1970504172).

1130588640 is an abundant number, since it is smaller than the sum of its proper divisors (2810419704).

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

1130588640 is a wasteful number, since it uses less digits than its factorization.

1130588640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 282 counting only the distinct ones).

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

The square root of 1130588640 is about 33624.2269799619. The cubic root of 1130588640 is about 1041.7612660611.

The spelling of 1130588640 in words is "one billion, one hundred thirty million, five hundred eighty-eight thousand, six hundred forty".