1159634400 has 216 divisors, whose sum is σ = 3880079784. Its totient is φ = 300748800.

The previous prime is 1159634387. The next prime is 1159634407. The reversal of 1159634400 is 44369511.

1159634400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1159634407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13029556 + ... + 13029644.

Almost surely, 2^1159634400 is an apocalyptic number.

1159634400 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 1159634400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940039892).

1159634400 is an abundant number, since it is smaller than the sum of its proper divisors (2720445384).

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

1159634400 is an equidigital number, since it uses as much as digits as its factorization.

1159634400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 1159634400 is about 34053.4051160820. The cubic root of 1159634400 is about 1050.6071771683.

The spelling of 1159634400 in words is "one billion, one hundred fifty-nine million, six hundred thirty-four thousand, four hundred".