1134574560 has 384 divisors, whose sum is σ = 4807434240. Its totient is φ = 243965952.

The previous prime is 1134574547. The next prime is 1134574601. The reversal of 1134574560 is 654754311.

1134574560 is a `hidden beast` number, since 1 + 1 + 34 + 574 + 56 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 512977 + ... + 515183.

It is an arithmetic number, because the mean of its divisors is an integer number (12519360).

Almost surely, 2^1134574560 is an apocalyptic number.

1134574560 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 1134574560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2403717120).

1134574560 is an abundant number, since it is smaller than the sum of its proper divisors (3672859680).

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

1134574560 is a wasteful number, since it uses less digits than its factorization.

1134574560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 1134574560 is about 33683.4463794903. The cubic root of 1134574560 is about 1042.9840824132.

It can be divided in two parts, 11345 and 74560, that added together give a triangular number (85905 = T₄₁₄).

The spelling of 1134574560 in words is "one billion, one hundred thirty-four million, five hundred seventy-four thousand, five hundred sixty".