1127041920 has 192 divisors, whose sum is σ = 3909578400. Its totient is φ = 299175936.

The previous prime is 1127041897. The next prime is 1127041969. The reversal of 1127041920 is 291407211.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2240389 + ... + 2240891.

Almost surely, 2^1127041920 is an apocalyptic number.

1127041920 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 1127041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954789200).

1127041920 is an abundant number, since it is smaller than the sum of its proper divisors (2782536480).

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

1127041920 is a wasteful number, since it uses less digits than its factorization.

1127041920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1127041920 is about 33571.4450091145. The cubic root of 1127041920 is about 1040.6707704349.

The spelling of 1127041920 in words is "one billion, one hundred twenty-seven million, forty-one thousand, nine hundred twenty".