1127075040 has 768 divisors, whose sum is σ = 5039677440. Its totient is φ = 228925440.

The previous prime is 1127075017. The next prime is 1127075069. The reversal of 1127075040 is 405707211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1127074995 and 1127075013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18476610 + ... + 18476670.

It is an arithmetic number, because the mean of its divisors is an integer number (6562080).

Almost surely, 2^1127075040 is an apocalyptic number.

1127075040 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 1127075040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519838720).

1127075040 is an abundant number, since it is smaller than the sum of its proper divisors (3912602400).

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

1127075040 is a wasteful number, since it uses less digits than its factorization.

1127075040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 1127075040 is about 33571.9382818449. The cubic root of 1127075040 is about 1040.6809642818.

The spelling of 1127075040 in words is "one billion, one hundred twenty-seven million, seventy-five thousand, forty".