1152993600 has 504 divisors, whose sum is σ = 4643140320. Its totient is φ = 268800000.

The previous prime is 1152993581. The next prime is 1152993623. The reversal of 1152993600 is 63992511.

1152993600 is a `hidden beast` number, since 1 + 1 + 5 + 299 + 360 + 0 = 666.

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 4593475 + ... + 4593725.

It is an arithmetic number, because the mean of its divisors is an integer number (9212580).

Almost surely, 2^1152993600 is an apocalyptic number.

1152993600 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 1152993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321570160).

1152993600 is an abundant number, since it is smaller than the sum of its proper divisors (3490146720).

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

1152993600 is a wasteful number, since it uses less digits than its factorization.

1152993600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 1152993600 is about 33955.7594525583. The cubic root of 1152993600 is about 1048.5978563371.

The spelling of 1152993600 in words is "one billion, one hundred fifty-two million, nine hundred ninety-three thousand, six hundred".