1149263640 has 576 divisors, whose sum is σ = 4780339200. Its totient is φ = 246903552.

The previous prime is 1149263587. The next prime is 1149263657. The reversal of 1149263640 is 463629411.

1149263640 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 2 + 6 + 3 + 640 = 666.

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 = 1149263595 and 1149263604.

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 143 ways as a sum of consecutive naturals, for example, 9049257 + ... + 9049383.

It is an arithmetic number, because the mean of its divisors is an integer number (8299200).

Almost surely, 2^1149263640 is an apocalyptic number.

1149263640 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 1149263640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2390169600).

1149263640 is an abundant number, since it is smaller than the sum of its proper divisors (3631075560).

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

1149263640 is a wasteful number, since it uses less digits than its factorization.

1149263640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1149263640 is about 33900.7911412108. The cubic root of 1149263640 is about 1047.4658889977.

The spelling of 1149263640 in words is "one billion, one hundred forty-nine million, two hundred sixty-three thousand, six hundred forty".