1149359760 has 160 divisors (see below), whose sum is σ = 3996708480. Its totient is φ = 303570432.

The previous prime is 1149359759. The next prime is 1149359777. The reversal of 1149359760 is 679539411.

1149359760 is a `hidden beast` number, since 11 + 49 + 3 + 597 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228634 + ... + 233606.

It is an arithmetic number, because the mean of its divisors is an integer number (24979428).

Almost surely, 2^1149359760 is an apocalyptic number.

1149359760 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 1149359760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998354240).

1149359760 is an abundant number, since it is smaller than the sum of its proper divisors (2847348720).

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

1149359760 is a wasteful number, since it uses less digits than its factorization.

1149359760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5102 (or 5090 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 1149359760 is about 33902.2087776003. The cubic root of 1149359760 is about 1047.4950901925.

It can be divided in two parts, 11493 and 59760, that added together give a triangular number (71253 = T₃₇₇).

The spelling of 1149359760 in words is "one billion, one hundred forty-nine million, three hundred fifty-nine thousand, seven hundred sixty".