1149603840 has 728 divisors, whose sum is σ = 5156791488. Its totient is φ = 238878720.

The previous prime is 1149603821. The next prime is 1149603859. The reversal of 1149603840 is 483069411.

1149603840 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 603 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1149603821) and next prime (1149603859).

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 = 1149603795 and 1149603804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 104509435 + ... + 104509445.

Almost surely, 2^1149603840 is an apocalyptic number.

1149603840 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 1149603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578395744).

1149603840 is an abundant number, since it is smaller than the sum of its proper divisors (4007187648).

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

1149603840 is an frugal number, since it uses more digits than its factorization.

1149603840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1149603840 is about 33905.8083519624. The cubic root of 1149603840 is about 1047.5692342260.

The spelling of 1149603840 in words is "one billion, one hundred forty-nine million, six hundred three thousand, eight hundred forty".