1127191680 has 512 divisors, whose sum is σ = 4297708800. Its totient is φ = 278691840.

The previous prime is 1127191679. The next prime is 1127191693. The reversal of 1127191680 is 861917211.

It is a super-2 number, since 2×1127191680² = 2541122166922444800, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 26213739 + ... + 26213781.

Almost surely, 2^1127191680 is an apocalyptic number.

1127191680 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 1127191680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148854400).

1127191680 is an abundant number, since it is smaller than the sum of its proper divisors (3170517120).

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

1127191680 is a wasteful number, since it uses less digits than its factorization.

1127191680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 36.

The square root of 1127191680 is about 33573.6754020170. The cubic root of 1127191680 is about 1040.7168627613.

The spelling of 1127191680 in words is "one billion, one hundred twenty-seven million, one hundred ninety-one thousand, six hundred eighty".