1157126760 has 192 divisors, whose sum is σ = 4039476480. Its totient is φ = 286218240.

The previous prime is 1157126759. The next prime is 1157126779. The reversal of 1157126760 is 676217511.

1157126760 is a `hidden beast` number, since 1 + 1 + 571 + 26 + 7 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 433189 + ... + 435851.

It is an arithmetic number, because the mean of its divisors is an integer number (21038940).

Almost surely, 2^1157126760 is an apocalyptic number.

1157126760 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 1157126760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019738240).

1157126760 is an abundant number, since it is smaller than the sum of its proper divisors (2882349720).

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

1157126760 is a wasteful number, since it uses less digits than its factorization.

1157126760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 1157126760 is about 34016.5659642475. The cubic root of 1157126760 is about 1049.8493389274.

The spelling of 1157126760 in words is "one billion, one hundred fifty-seven million, one hundred twenty-six thousand, seven hundred sixty".