216338540 has 48 divisors (see below), whose sum is σ = 497629440. Its totient is φ = 78348480.

The previous prime is 216338537. The next prime is 216338569. The reversal of 216338540 is 45833612.

It is a junction number, because it is equal to n+sod(n) for n = 216338497 and 216338506.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55991 + ... + 59729.

It is an arithmetic number, because the mean of its divisors is an integer number (10367280).

Almost surely, 2^216338540 is an apocalyptic number.

216338540 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 216338540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248814720).

216338540 is an abundant number, since it is smaller than the sum of its proper divisors (281290900).

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

216338540 is a wasteful number, since it uses less digits than its factorization.

216338540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4022 (or 4020 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 216338540 is about 14708.4513120859. The cubic root of 216338540 is about 600.3132993404.

The spelling of 216338540 in words is "two hundred sixteen million, three hundred thirty-eight thousand, five hundred forty".