1148088960 has 96 divisors (see below), whose sum is σ = 3964514580. Its totient is φ = 306155520.

The previous prime is 1148088941. The next prime is 1148089009. The reversal of 1148088960 is 698808411.

1148088960 is a `hidden beast` number, since 1 + 1 + 480 + 88 + 96 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1082673216 + 65415744 = 32904^2 + 8088^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93901 + ... + 105420.

Almost surely, 2^1148088960 is an apocalyptic number.

1148088960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1148088960 is an abundant number, since it is smaller than the sum of its proper divisors (2816425620).

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

1148088960 is a wasteful number, since it uses less digits than its factorization.

1148088960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199346 (or 199331 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 1148088960 is about 33883.4614524549. The cubic root of 1148088960 is about 1047.1088903532.

The spelling of 1148088960 in words is "one billion, one hundred forty-eight million, eighty-eight thousand, nine hundred sixty".