1135024560 has 240 divisors, whose sum is σ = 3970975008. Its totient is φ = 290304000.

The previous prime is 1135024529. The next prime is 1135024571. The reversal of 1135024560 is 654205311.

1135024560 is a `hidden beast` number, since 11 + 350 + 245 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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, 1888260 + ... + 1888860.

Almost surely, 2^1135024560 is an apocalyptic number.

1135024560 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 1135024560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985487504).

1135024560 is an abundant number, since it is smaller than the sum of its proper divisors (2835950448).

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

1135024560 is a wasteful number, since it uses less digits than its factorization.

1135024560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1135024560 is about 33690.1255563110. The cubic root of 1135024560 is about 1043.1219551796.

Adding to 1135024560 its reverse (654205311), we get a palindrome (1789229871).

The spelling of 1135024560 in words is "one billion, one hundred thirty-five million, twenty-four thousand, five hundred sixty".