1127638512 has 240 divisors, whose sum is σ = 4237728768. Its totient is φ = 270328320.

The previous prime is 1127638511. The next prime is 1127638517. The reversal of 1127638512 is 2158367211.

1127638512 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 638 + 5 + 12 = 666.

It is a super-2 number, since 2×1127638512² = 2543137227491148288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1127638511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140233 + ... + 148055.

Almost surely, 2^1127638512 is an apocalyptic number.

1127638512 is a gapful number since it is divisible by the number (12) 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 1127638512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118864384).

1127638512 is an abundant number, since it is smaller than the sum of its proper divisors (3110090256).

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

1127638512 is a wasteful number, since it uses less digits than its factorization.

1127638512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7868 (or 7859 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 1127638512 is about 33580.3292419833. The cubic root of 1127638512 is about 1040.8543620503.

The spelling of 1127638512 in words is "one billion, one hundred twenty-seven million, six hundred thirty-eight thousand, five hundred twelve".