216920340 has 576 divisors, whose sum is σ = 924618240. Its totient is φ = 39813120.

The previous prime is 216920329. The next prime is 216920371. The reversal of 216920340 is 43029612.

216920340 = T₄₇₅ + T₄₇₆ + ... + T₁₁₂₀.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5290720 + ... + 5290760.

It is an arithmetic number, because the mean of its divisors is an integer number (1605240).

Almost surely, 2^216920340 is an apocalyptic number.

216920340 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 216920340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462309120).

216920340 is an abundant number, since it is smaller than the sum of its proper divisors (707697900).

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

216920340 is a wasteful number, since it uses less digits than its factorization.

216920340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 216920340 is about 14728.2157778870. The cubic root of 216920340 is about 600.8509592101.

Adding to 216920340 its reverse (43029612), we get a palindrome (259949952).

The spelling of 216920340 in words is "two hundred sixteen million, nine hundred twenty thousand, three hundred forty".