218406672 has 320 divisors, whose sum is σ = 749952000. Its totient is φ = 60134400.

The previous prime is 218406647. The next prime is 218406673. The reversal of 218406672 is 276604812.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (218406673) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3701779 + ... + 3701837.

It is an arithmetic number, because the mean of its divisors is an integer number (2343600).

Almost surely, 2^218406672 is an apocalyptic number.

218406672 is a gapful number since it is divisible by the number (22) 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 218406672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374976000).

218406672 is an abundant number, since it is smaller than the sum of its proper divisors (531545328).

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

218406672 is a wasteful number, since it uses less digits than its factorization.

218406672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 218406672 is about 14778.5882952331. The cubic root of 218406672 is about 602.2201745751.

The spelling of 218406672 in words is "two hundred eighteen million, four hundred six thousand, six hundred seventy-two".