18305952 has 48 divisors (see below), whose sum is σ = 54919872. Its totient is φ = 5230080.

The previous prime is 18305939. The next prime is 18305971. The reversal of 18305952 is 25950381.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 12949 + ... + 14292.

It is an arithmetic number, because the mean of its divisors is an integer number (1144164).

Almost surely, 2^18305952 is an apocalyptic number.

18305952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18305952 is an abundant number, since it is smaller than the sum of its proper divisors (36613920).

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

18305952 is a wasteful number, since it uses less digits than its factorization.

18305952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27261 (or 27253 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 18305952 is about 4278.5455472625. The cubic root of 18305952 is about 263.5506589574.

The spelling of 18305952 in words is "eighteen million, three hundred five thousand, nine hundred fifty-two".