1149166720 has 128 divisors (see below), whose sum is σ = 3039326640. Its totient is φ = 412729344.

The previous prime is 1149166717. The next prime is 1149166741. The reversal of 1149166720 is 276619411.

It can be written as a sum of positive squares in 8 ways, for example, as 558093376 + 591073344 = 23624^2 + 24312^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (37) 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 (37).

It is a self number, because there is not a number n which added to its sum of digits gives 1149166720.

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 15 ways as a sum of consecutive naturals, for example, 305974 + ... + 309706.

Almost surely, 2^1149166720 is an apocalyptic number.

1149166720 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 1149166720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519663320).

1149166720 is an abundant number, since it is smaller than the sum of its proper divisors (1890159920).

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

1149166720 is a wasteful number, since it uses less digits than its factorization.

1149166720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3802 (or 3790 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 1149166720 is about 33899.3616459071. The cubic root of 1149166720 is about 1047.4364431147.

It can be divided in two parts, 1149166 and 720, that added together give a triangular number (1149886 = T₁₅₁₆).

The spelling of 1149166720 in words is "one billion, one hundred forty-nine million, one hundred sixty-six thousand, seven hundred twenty".