1127965680 has 120 divisors (see below), whose sum is σ = 3876286128. Its totient is φ = 293787648.

The previous prime is 1127965651. The next prime is 1127965687. The reversal of 1127965680 is 865697211.

1127965680 is a `hidden beast` number, since 1 + 12 + 79 + 6 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1127965687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12744 + ... + 49176.

Almost surely, 2^1127965680 is an apocalyptic number.

1127965680 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 1127965680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938143064).

1127965680 is an abundant number, since it is smaller than the sum of its proper divisors (2748320448).

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

1127965680 is a wasteful number, since it uses less digits than its factorization.

1127965680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36495 (or 36486 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1127965680 is about 33585.2003120422. The cubic root of 1127965680 is about 1040.9550152613.

The spelling of 1127965680 in words is "one billion, one hundred twenty-seven million, nine hundred sixty-five thousand, six hundred eighty".