1155576240 has 320 divisors, whose sum is σ = 4899686400. Its totient is φ = 243772416.

The previous prime is 1155576209. The next prime is 1155576259. The reversal of 1155576240 is 426755511.

1155576240 is a `hidden beast` number, since 1 + 1 + 5 + 557 + 62 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1155576195 and 1155576204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 193621 + ... + 199499.

It is an arithmetic number, because the mean of its divisors is an integer number (15311520).

Almost surely, 2^1155576240 is an apocalyptic number.

1155576240 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 1155576240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449843200).

1155576240 is an abundant number, since it is smaller than the sum of its proper divisors (3744110160).

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

1155576240 is a wasteful number, since it uses less digits than its factorization.

1155576240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5921 (or 5909 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 1155576240 is about 33993.7676640881. The cubic root of 1155576240 is about 1049.3802056481.

The spelling of 1155576240 in words is "one billion, one hundred fifty-five million, five hundred seventy-six thousand, two hundred forty".