1151866080 has 144 divisors (see below), whose sum is σ = 4066433280. Its totient is φ = 296561664.

The previous prime is 1151866073. The next prime is 1151866117. The reversal of 1151866080 is 806681511.

1151866080 is a `hidden beast` number, since 1 + 1 + 518 + 6 + 60 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 27969 + ... + 55551.

It is an arithmetic number, because the mean of its divisors is an integer number (28239120).

Almost surely, 2^1151866080 is an apocalyptic number.

1151866080 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 1151866080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033216640).

1151866080 is an abundant number, since it is smaller than the sum of its proper divisors (2914567200).

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

1151866080 is a wasteful number, since it uses less digits than its factorization.

1151866080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27633 (or 27622 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 1151866080 is about 33939.1526116961. The cubic root of 1151866080 is about 1048.2559346178.

The spelling of 1151866080 in words is "one billion, one hundred fifty-one million, eight hundred sixty-six thousand, eighty".