1186228800 has 378 divisors, whose sum is σ = 4416817938. Its totient is φ = 313528320.

The previous prime is 1186228793. The next prime is 1186228829. The reversal of 1186228800 is 88226811.

It can be written as a sum of positive squares in 3 ways, for example, as 6718464 + 1179510336 = 2592^2 + 34344^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 10497544 + ... + 10497656.

Almost surely, 2^1186228800 is an apocalyptic number.

1186228800 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 1186228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208408969).

1186228800 is an abundant number, since it is smaller than the sum of its proper divisors (3230589138).

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

1186228800 is an frugal number, since it uses more digits than its factorization.

1186228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 1186228800 is about 34441.6724332603. The cubic root of 1186228800 is about 1058.5778959618.

The spelling of 1186228800 in words is "one billion, one hundred eighty-six million, two hundred twenty-eight thousand, eight hundred".