1148017680 has 120 divisors (see below), whose sum is σ = 3883501440. Its totient is φ = 303909120.

The previous prime is 1148017679. The next prime is 1148017691. The reversal of 1148017680 is 867108411.

1148017680 is a `hidden beast` number, since 1 + 1 + 480 + 176 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94345 + ... + 105815.

It is an arithmetic number, because the mean of its divisors is an integer number (32362512).

Almost surely, 2^1148017680 is an apocalyptic number.

1148017680 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 1148017680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941750720).

1148017680 is an abundant number, since it is smaller than the sum of its proper divisors (2735483760).

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

1148017680 is a wasteful number, since it uses less digits than its factorization.

1148017680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11629 (or 11620 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 1148017680 is about 33882.4095955409. The cubic root of 1148017680 is about 1047.0872197135.

The spelling of 1148017680 in words is "one billion, one hundred forty-eight million, seventeen thousand, six hundred eighty".