1008168840 has 96 divisors (see below), whose sum is σ = 3744636480. Its totient is φ = 230438016.

The previous prime is 1008168781. The next prime is 1008168851. The reversal of 1008168840 is 488618001.

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

It is a junction number, because it is equal to n+sod(n) for n = 1008168795 and 1008168804.

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, 197514 + ... + 202553.

It is an arithmetic number, because the mean of its divisors is an integer number (39006630).

Almost surely, 2^1008168840 is an apocalyptic number.

1008168840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1008168840 is an abundant number, since it is smaller than the sum of its proper divisors (2736467640).

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

1008168840 is a wasteful number, since it uses less digits than its factorization.

1008168840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400091 (or 400084 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 1008168840 is about 31751.6746015072. The cubic root of 1008168840 is about 1002.7155656945.

The spelling of 1008168840 in words is "one billion, eight million, one hundred sixty-eight thousand, eight hundred forty".