1166400256 has 72 divisors (see below), whose sum is σ = 2711276064. Its totient is φ = 490414080.

The previous prime is 1166400251. The next prime is 1166400299. The reversal of 1166400256 is 6520046611.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1166400251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88836 + ... + 101116.

It is an arithmetic number, because the mean of its divisors is an integer number (37656612).

Almost surely, 2^1166400256 is an apocalyptic number.

1166400256 is a gapful number since it is divisible by the number (16) 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 1166400256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355638032).

1166400256 is an abundant number, since it is smaller than the sum of its proper divisors (1544875808).

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

1166400256 is an equidigital number, since it uses as much as digits as its factorization.

1166400256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12357 (or 12343 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 1166400256 is about 34152.6024777029. The cubic root of 1166400256 is about 1052.6464627678.

Adding to 1166400256 its reverse (6520046611), we get a palindrome (7686446867).

It can be divided in two parts, 1166400 and 256, that multiplied together give a square (298598400 = 17280²).

The spelling of 1166400256 in words is "one billion, one hundred sixty-six million, four hundred thousand, two hundred fifty-six".