1127603840 has 96 divisors (see below), whose sum is σ = 2963221380. Its totient is φ = 410009600.

The previous prime is 1127603833. The next prime is 1127603843. The reversal of 1127603840 is 483067211.

It can be written as a sum of positive squares in 2 ways, for example, as 1100646976 + 26956864 = 33176^2 + 5192^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1127603797 and 1127603806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1127603843) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70160 + ... + 84720.

Almost surely, 2^1127603840 is an apocalyptic number.

1127603840 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 1127603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481610690).

1127603840 is an abundant number, since it is smaller than the sum of its proper divisors (1835617540).

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

1127603840 is a wasteful number, since it uses less digits than its factorization.

1127603840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14602 (or 14579 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 1127603840 is about 33579.8129833982. The cubic root of 1127603840 is about 1040.8436940711.

The spelling of 1127603840 in words is "one billion, one hundred twenty-seven million, six hundred three thousand, eight hundred forty".