218074032 has 120 divisors (see below), whose sum is σ = 690580800. Its totient is φ = 66070080.

The previous prime is 218074019. The next prime is 218074033. The reversal of 218074032 is 230470812.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 218073987 and 218074005.

It is not an unprimeable number, because it can be changed into a prime (218074033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40219 + ... + 45317.

It is an arithmetic number, because the mean of its divisors is an integer number (5754840).

Almost surely, 2^218074032 is an apocalyptic number.

218074032 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 218074032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345290400).

218074032 is an abundant number, since it is smaller than the sum of its proper divisors (472506768).

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

218074032 is a wasteful number, since it uses less digits than its factorization.

218074032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5133 (or 5115 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 218074032 is about 14767.3298872884. The cubic root of 218074032 is about 601.9142860198.

The spelling of 218074032 in words is "two hundred eighteen million, seventy-four thousand, thirty-two".