1133570880 has 504 divisors, whose sum is σ = 4502990232. Its totient is φ = 260702208.

The previous prime is 1133570873. The next prime is 1133570891. The reversal of 1133570880 is 880753311.

1133570880 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 570 + 8 + 80 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 428986944 + 704583936 = 20712^2 + 26544^2 .

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8274172 + ... + 8274308.

Almost surely, 2^1133570880 is an apocalyptic number.

1133570880 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 1133570880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251495116).

1133570880 is an abundant number, since it is smaller than the sum of its proper divisors (3369419352).

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

1133570880 is a wasteful number, since it uses less digits than its factorization.

1133570880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1133570880 is about 33668.5443700793. The cubic root of 1133570880 is about 1042.6764396084.

It can be divided in two parts, 11335 and 70880, that added together give a triangular number (82215 = T₄₀₅).

The spelling of 1133570880 in words is "one billion, one hundred thirty-three million, five hundred seventy thousand, eight hundred eighty".