1155644000 has 192 divisors, whose sum is σ = 3278620800. Its totient is φ = 392140800.

The previous prime is 1155643991. The next prime is 1155644041. The reversal of 1155644000 is 4465511.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4171862 + ... + 4172138.

It is an arithmetic number, because the mean of its divisors is an integer number (17076150).

Almost surely, 2^1155644000 is an apocalyptic number.

1155644000 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 1155644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639310400).

1155644000 is an abundant number, since it is smaller than the sum of its proper divisors (2122976800).

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

1155644000 is a wasteful number, since it uses less digits than its factorization.

1155644000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 1155644000 is about 33994.7643027570. The cubic root of 1155644000 is about 1049.4007162270.

The spelling of 1155644000 in words is "one billion, one hundred fifty-five million, six hundred forty-four thousand".