218774880 has 144 divisors (see below), whose sum is σ = 752628240. Its totient is φ = 57867264.

The previous prime is 218774879. The next prime is 218774909. The reversal of 218774880 is 88477812.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199614 + ... + 200706.

It is an arithmetic number, because the mean of its divisors is an integer number (5226585).

Almost surely, 2^218774880 is an apocalyptic number.

218774880 is a gapful number since it is divisible by the number (20) 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 218774880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376314120).

218774880 is an abundant number, since it is smaller than the sum of its proper divisors (533853360).

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

218774880 is a wasteful number, since it uses less digits than its factorization.

218774880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The square root of 218774880 is about 14791.0405313487. The cubic root of 218774880 is about 602.5584087357.

The spelling of 218774880 in words is "two hundred eighteen million, seven hundred seventy-four thousand, eight hundred eighty".