213363540 has 144 divisors (see below), whose sum is σ = 733824000. Its totient is φ = 49745664.

The previous prime is 213363539. The next prime is 213363547. The reversal of 213363540 is 45363312.

It is a happy number.

213363540 is a `hidden beast` number, since 21 + 3 + 3 + 635 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213363547) 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, 42061 + ... + 46859.

It is an arithmetic number, because the mean of its divisors is an integer number (5096000).

Almost surely, 2^213363540 is an apocalyptic number.

213363540 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 213363540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366912000).

213363540 is an abundant number, since it is smaller than the sum of its proper divisors (520460460).

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

213363540 is a wasteful number, since it uses less digits than its factorization.

213363540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4846 (or 4841 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 213363540 is about 14606.9688847481. The cubic root of 213363540 is about 597.5488332724.

The spelling of 213363540 in words is "two hundred thirteen million, three hundred sixty-three thousand, five hundred forty".