18406960 has 80 divisors (see below), whose sum is σ = 50309280. Its totient is φ = 6174720.

The previous prime is 18406951. The next prime is 18406979. The reversal of 18406960 is 6960481.

It is a tau number, because it is divible by the number of its divisors (80).

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, 10636 + ... + 12244.

It is an arithmetic number, because the mean of its divisors is an integer number (628866).

Almost surely, 2^18406960 is an apocalyptic number.

18406960 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 18406960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25154640).

18406960 is an abundant number, since it is smaller than the sum of its proper divisors (31902320).

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

18406960 is a wasteful number, since it uses less digits than its factorization.

18406960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 18406960 is about 4290.3333203843. Note that the first 4 decimals coincide. The cubic root of 18406960 is about 264.0345072739.

The spelling of 18406960 in words is "eighteen million, four hundred six thousand, nine hundred sixty".