218995920 has 320 divisors, whose sum is σ = 887443200. Its totient is φ = 48936960.

The previous prime is 218995901. The next prime is 218995927. The reversal of 218995920 is 29599812.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218995927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 308526 + ... + 309234.

It is an arithmetic number, because the mean of its divisors is an integer number (2773260).

Almost surely, 2^218995920 is an apocalyptic number.

218995920 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 218995920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443721600).

218995920 is an abundant number, since it is smaller than the sum of its proper divisors (668447280).

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

218995920 is a wasteful number, since it uses less digits than its factorization.

218995920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 218995920 is about 14798.5107358815. The cubic root of 218995920 is about 602.7612727935.

The spelling of 218995920 in words is "two hundred eighteen million, nine hundred ninety-five thousand, nine hundred twenty".