1127973600 has 540 divisors, whose sum is σ = 4497509016. Its totient is φ = 274959360.

The previous prime is 1127973593. The next prime is 1127973617. The reversal of 1127973600 is 63797211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent 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 89 ways as a sum of consecutive naturals, for example, 10951149 + ... + 10951251.

Almost surely, 2^1127973600 is an apocalyptic number.

1127973600 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 1127973600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248754508).

1127973600 is an abundant number, since it is smaller than the sum of its proper divisors (3369535416).

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

1127973600 is a wasteful number, since it uses less digits than its factorization.

1127973600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 1127973600 is about 33585.3182209131. The cubic root of 1127973600 is about 1040.9574516075.

The spelling of 1127973600 in words is "one billion, one hundred twenty-seven million, nine hundred seventy-three thousand, six hundred".