1155877632 has 432 divisors, whose sum is σ = 4240891200. Its totient is φ = 294617088.

The previous prime is 1155877609. The next prime is 1155877649. The reversal of 1155877632 is 2367785511.

It is a happy number.

1155877632 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 8 + 7 + 7 + 632 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7757494 + ... + 7757642.

Almost surely, 2^1155877632 is an apocalyptic number.

1155877632 is a gapful number since it is divisible by the number (12) 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 1155877632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120445600).

1155877632 is an abundant number, since it is smaller than the sum of its proper divisors (3085013568).

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

1155877632 is a wasteful number, since it uses less digits than its factorization.

1155877632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 211 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 1155877632 is about 33998.2004229636. The cubic root of 1155877632 is about 1049.4714291998.

The spelling of 1155877632 in words is "one billion, one hundred fifty-five million, eight hundred seventy-seven thousand, six hundred thirty-two".