23164008 has 64 divisors (see below), whose sum is σ = 66648960. Its totient is φ = 6571776.

The previous prime is 23163991. The next prime is 23164019. The reversal of 23164008 is 80046132.

It is a happy number.

It is a super-3 number, since 3×23164008³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28666 + ... + 29462.

It is an arithmetic number, because the mean of its divisors is an integer number (1041390).

Almost surely, 2^23164008 is an apocalyptic number.

23164008 is a gapful number since it is divisible by the number (28) 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 23164008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33324480).

23164008 is an abundant number, since it is smaller than the sum of its proper divisors (43484952).

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

23164008 is a wasteful number, since it uses less digits than its factorization.

23164008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 23164008 is about 4812.9001651811. The cubic root of 23164008 is about 285.0610641700.

The spelling of 23164008 in words is "twenty-three million, one hundred sixty-four thousand, eight".