218027664 has 60 divisors (see below), whose sum is σ = 620202492. Its totient is φ = 71481600.

The previous prime is 218027657. The next prime is 218027671. The reversal of 218027664 is 466720812.

It is an interprime number because it is at equal distance from previous prime (218027657) and next prime (218027671).

It can be written as a sum of positive squares in 2 ways, for example, as 16160400 + 201867264 = 4020^2 + 14208^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3627 + ... + 21194.

Almost surely, 2^218027664 is an apocalyptic number.

218027664 is a gapful number since it is divisible by the number (24) 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 218027664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310101246).

218027664 is an abundant number, since it is smaller than the sum of its proper divisors (402174828).

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

218027664 is a wasteful number, since it uses less digits than its factorization.

218027664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24896 (or 24887 counting only the distinct ones).

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

The square root of 218027664 is about 14765.7598517652. The cubic root of 218027664 is about 601.8716223126.

The spelling of 218027664 in words is "two hundred eighteen million, twenty-seven thousand, six hundred sixty-four".