1127665000 has 320 divisors, whose sum is σ = 3441398400. Its totient is φ = 336000000.

The previous prime is 1127664973. The next prime is 1127665003. The reversal of 1127665000 is 5667211.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 1127665000.

It is not an unprimeable number, because it can be changed into a prime (1127665003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11164950 + ... + 11165050.

It is an arithmetic number, because the mean of its divisors is an integer number (10754370).

Almost surely, 2^1127665000 is an apocalyptic number.

1127665000 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 1127665000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720699200).

1127665000 is an abundant number, since it is smaller than the sum of its proper divisors (2313733400).

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

1127665000 is a wasteful number, since it uses less digits than its factorization.

1127665000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 1127665000 is about 33580.7236372297. The cubic root of 1127665000 is about 1040.8625118058.

The spelling of 1127665000 in words is "one billion, one hundred twenty-seven million, six hundred sixty-five thousand".