218948040 has 192 divisors, whose sum is σ = 767370240. Its totient is φ = 53982720.

The previous prime is 218948033. The next prime is 218948047. The reversal of 218948040 is 40849812.

It is an interprime number because it is at equal distance from previous prime (218948033) and next prime (218948047).

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

It is a junction number, because it is equal to n+sod(n) for n = 218947986 and 218948004.

It is not an unprimeable number, because it can be changed into a prime (218948047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256254 + ... + 257106.

It is an arithmetic number, because the mean of its divisors is an integer number (3996720).

Almost surely, 2^218948040 is an apocalyptic number.

218948040 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 218948040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383685120).

218948040 is an abundant number, since it is smaller than the sum of its proper divisors (548422200).

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

218948040 is a wasteful number, since it uses less digits than its factorization.

218948040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 218948040 is about 14796.8929170958. The cubic root of 218948040 is about 602.7173415134.

The spelling of 218948040 in words is "two hundred eighteen million, nine hundred forty-eight thousand, forty".