213768240 has 320 divisors, whose sum is σ = 823280640. Its totient is φ = 44789760.

The previous prime is 213768197. The next prime is 213768263. The reversal of 213768240 is 42867312.

213768240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1180950 + ... + 1181130.

It is an arithmetic number, because the mean of its divisors is an integer number (2572752).

Almost surely, 2^213768240 is an apocalyptic number.

213768240 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 213768240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411640320).

213768240 is an abundant number, since it is smaller than the sum of its proper divisors (609512400).

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

213768240 is a wasteful number, since it uses less digits than its factorization.

213768240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 213768240 is about 14620.8152987445. The cubic root of 213768240 is about 597.9263974319.

The spelling of 213768240 in words is "two hundred thirteen million, seven hundred sixty-eight thousand, two hundred forty".