1155924000 has 768 divisors, whose sum is σ = 5283532800. Its totient is φ = 238464000.

The previous prime is 1155923983. The next prime is 1155924053. The reversal of 1155924000 is 4295511.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8315931 + ... + 8316069.

It is an arithmetic number, because the mean of its divisors is an integer number (6879600).

Almost surely, 2^1155924000 is an apocalyptic number.

1155924000 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 1155924000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641766400).

1155924000 is an abundant number, since it is smaller than the sum of its proper divisors (4127608800).

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

1155924000 is a wasteful number, since it uses less digits than its factorization.

1155924000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1155924000 is about 33998.8823345709. The cubic root of 1155924000 is about 1049.4854621848.

The spelling of 1155924000 in words is "one billion, one hundred fifty-five million, nine hundred twenty-four thousand".