218708064 has 72 divisors (see below), whose sum is σ = 627747120. Its totient is φ = 72223488.

The previous prime is 218708059. The next prime is 218708099. The reversal of 218708064 is 460807812.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

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, 27909 + ... + 34875.

It is an arithmetic number, because the mean of its divisors is an integer number (8718710).

Almost surely, 2^218708064 is an apocalyptic number.

218708064 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 218708064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313873560).

218708064 is an abundant number, since it is smaller than the sum of its proper divisors (409039056).

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

218708064 is a wasteful number, since it uses less digits than its factorization.

218708064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7092 (or 7081 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 218708064 is about 14788.7816942438. The cubic root of 218708064 is about 602.4970600684.

The spelling of 218708064 in words is "two hundred eighteen million, seven hundred eight thousand, sixty-four".