1148106960 has 960 divisors, whose sum is σ = 5459650560. Its totient is φ = 216483840.

The previous prime is 1148106943. The next prime is 1148106961. The reversal of 1148106960 is 696018411.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1148106961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19459411 + ... + 19459469.

It is an arithmetic number, because the mean of its divisors is an integer number (5687136).

Almost surely, 2^1148106960 is an apocalyptic number.

1148106960 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 1148106960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729825280).

1148106960 is an abundant number, since it is smaller than the sum of its proper divisors (4311543600).

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

1148106960 is a wasteful number, since it uses less digits than its factorization.

1148106960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1148106960 is about 33883.7270677238. The cubic root of 1148106960 is about 1047.1143625951.

The spelling of 1148106960 in words is "one billion, one hundred forty-eight million, one hundred six thousand, nine hundred sixty".