1155557760 has 256 divisors, whose sum is σ = 4248944640. Its totient is φ = 261660672.

The previous prime is 1155557749. The next prime is 1155557761. The reversal of 1155557760 is 677555511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1155557761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1706542 + ... + 1707218.

It is an arithmetic number, because the mean of its divisors is an integer number (16597440).

Almost surely, 2^1155557760 is an apocalyptic number.

1155557760 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 1155557760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2124472320).

1155557760 is an abundant number, since it is smaller than the sum of its proper divisors (3093386880).

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

1155557760 is a wasteful number, since it uses less digits than its factorization.

1155557760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 183750, while the sum is 42.

The square root of 1155557760 is about 33993.4958484708. The cubic root of 1155557760 is about 1049.3746117147.

The spelling of 1155557760 in words is "one billion, one hundred fifty-five million, five hundred fifty-seven thousand, seven hundred sixty".