213063840 has 144 divisors (see below), whose sum is σ = 793237536. Its totient is φ = 51648000.

The previous prime is 213063817. The next prime is 213063863. The reversal of 213063840 is 48360312.

It is a happy number.

213063840 is a `hidden beast` number, since 21 + 3 + 0 + 638 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (213063817) and next prime (213063863).

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9115 + ... + 22565.

It is an arithmetic number, because the mean of its divisors is an integer number (5508594).

Almost surely, 2^213063840 is an apocalyptic number.

213063840 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 213063840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396618768).

213063840 is an abundant number, since it is smaller than the sum of its proper divisors (580173696).

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

213063840 is a wasteful number, since it uses less digits than its factorization.

213063840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13483 (or 13472 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 213063840 is about 14596.7064778326. The cubic root of 213063840 is about 597.2689208730.

The spelling of 213063840 in words is "two hundred thirteen million, sixty-three thousand, eight hundred forty".