1166867520 has 672 divisors, whose sum is σ = 4942441728. Its totient is φ = 226934784.

The previous prime is 1166867509. The next prime is 1166867521. The reversal of 1166867520 is 257686611.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1166867521) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 31536942 + ... + 31536978.

It is an arithmetic number, because the mean of its divisors is an integer number (7354824).

Almost surely, 2^1166867520 is an apocalyptic number.

1166867520 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 1166867520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2471220864).

1166867520 is an abundant number, since it is smaller than the sum of its proper divisors (3775574208).

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

1166867520 is a wasteful number, since it uses less digits than its factorization.

1166867520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 1166867520 is about 34159.4426184035. The cubic root of 1166867520 is about 1052.7870086133.

The spelling of 1166867520 in words is "one billion, one hundred sixty-six million, eight hundred sixty-seven thousand, five hundred twenty".