1127766240 has 240 divisors, whose sum is σ = 4011039648. Its totient is φ = 298404864.

The previous prime is 1127766217. The next prime is 1127766251. The reversal of 1127766240 is 426677211.

1127766240 is a `hidden beast` number, since 1 + 1 + 27 + 7 + 6 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 1127766195 and 1127766204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2241829 + ... + 2242331.

Almost surely, 2^1127766240 is an apocalyptic number.

1127766240 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 1127766240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005519824).

1127766240 is an abundant number, since it is smaller than the sum of its proper divisors (2883273408).

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

1127766240 is a wasteful number, since it uses less digits than its factorization.

1127766240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1127766240 is about 33582.2310158214. The cubic root of 1127766240 is about 1040.8936598764.

The spelling of 1127766240 in words is "one billion, one hundred twenty-seven million, seven hundred sixty-six thousand, two hundred forty".