1127616400 has 135 divisors (see below), whose sum is σ = 2871332499. Its totient is φ = 425525760.

The previous prime is 1127616359. The next prime is 1127616431. The reversal of 1127616400 is 46167211.

The square root of 1127616400 is 33580.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6170256 + 1121446144 = 2484^2 + 33488^2 .

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 15446764 + ... + 15446836.

Almost surely, 2^1127616400 is an apocalyptic number.

1127616400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1127616400 is the 33580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1127616400

1127616400 is an abundant number, since it is smaller than the sum of its proper divisors (1743716099).

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

1127616400 is an equidigital number, since it uses as much as digits as its factorization.

1127616400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The cubic root of 1127616400 is about 1040.8475585928.

The spelling of 1127616400 in words is "one billion, one hundred twenty-seven million, six hundred sixteen thousand, four hundred".