1008166320 has 120 divisors (see below), whose sum is σ = 3869457696. Its totient is φ = 230436864.

The previous prime is 1008166303. The next prime is 1008166331. The reversal of 1008166320 is 236618001.

1008166320 is a `hidden beast` number, since 10 + 0 + 8 + 16 + 632 + 0 = 666.

1008166320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 94977 + ... + 105056.

Almost surely, 2^1008166320 is an apocalyptic number.

1008166320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1008166320 is an abundant number, since it is smaller than the sum of its proper divisors (2861291376).

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

1008166320 is a wasteful number, since it uses less digits than its factorization.

1008166320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200059 (or 200050 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1008166320 is about 31751.6349185361. The cubic root of 1008166320 is about 1002.7147302374.

The spelling of 1008166320 in words is "one billion, eight million, one hundred sixty-six thousand, three hundred twenty".