1149907680 has 144 divisors (see below), whose sum is σ = 3978177840. Its totient is φ = 302413824.

The previous prime is 1149907639. The next prime is 1149907741. The reversal of 1149907680 is 867099411.

It is a happy number.

1149907680 is a `hidden beast` number, since 11 + 499 + 0 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 99651 + ... + 110589.

It is an arithmetic number, because the mean of its divisors is an integer number (27626235).

Almost surely, 2^1149907680 is an apocalyptic number.

1149907680 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 1149907680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989088920).

1149907680 is an abundant number, since it is smaller than the sum of its proper divisors (2828270160).

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

1149907680 is a wasteful number, since it uses less digits than its factorization.

1149907680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11033 (or 11022 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 1149907680 is about 33910.2887041676. The cubic root of 1149907680 is about 1047.6615168563.

The spelling of 1149907680 in words is "one billion, one hundred forty-nine million, nine hundred seven thousand, six hundred eighty".