1131071760 has 480 divisors, whose sum is σ = 4768528128. Its totient is φ = 233902080.

The previous prime is 1131071743. The next prime is 1131071771. The reversal of 1131071760 is 671701311.

1131071760 = 392² + 393² + ... + 1511².

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3996579 + ... + 3996861.

Almost surely, 2^1131071760 is an apocalyptic number.

1131071760 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 1131071760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384264064).

1131071760 is an abundant number, since it is smaller than the sum of its proper divisors (3637456368).

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

1131071760 is a wasteful number, since it uses less digits than its factorization.

1131071760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 1131071760 is about 33631.4103183319. The cubic root of 1131071760 is about 1041.9096324410.

The spelling of 1131071760 in words is "one billion, one hundred thirty-one million, seventy-one thousand, seven hundred sixty".