1149657680 has 40 divisors (see below), whose sum is σ = 2676856200. Its totient is φ = 459191808.

The previous prime is 1149657679. The next prime is 1149657689. The reversal of 1149657680 is 867569411.

It can be written as a sum of positive squares in 4 ways, for example, as 76177984 + 1073479696 = 8728^2 + 32764^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1149657689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46586 + ... + 66854.

It is an arithmetic number, because the mean of its divisors is an integer number (66921405).

Almost surely, 2^1149657680 is an apocalyptic number.

1149657680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1149657680 is an abundant number, since it is smaller than the sum of its proper divisors (1527198520).

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

1149657680 is a wasteful number, since it uses less digits than its factorization.

1149657680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20991 (or 20985 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 47.

The square root of 1149657680 is about 33906.6023069254. The cubic root of 1149657680 is about 1047.5855877573.

The spelling of 1149657680 in words is "one billion, one hundred forty-nine million, six hundred fifty-seven thousand, six hundred eighty".