212381568 has 128 divisors (see below), whose sum is σ = 716448000. Its totient is φ = 60673536.

The previous prime is 212381567. The next prime is 212381573. The reversal of 212381568 is 865183212.

It is a happy number.

212381568 is a `hidden beast` number, since 2 + 12 + 3 + 81 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×212381568² = 90211860852277248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212381567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19803 + ... + 28581.

It is an arithmetic number, because the mean of its divisors is an integer number (5597250).

Almost surely, 2^212381568 is an apocalyptic number.

212381568 is a gapful number since it is divisible by the number (28) 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 212381568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358224000).

212381568 is an abundant number, since it is smaller than the sum of its proper divisors (504066432).

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

212381568 is an equidigital number, since it uses as much as digits as its factorization.

212381568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8809 (or 8791 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 212381568 is about 14573.3169868771. The cubic root of 212381568 is about 596.6307152827.

The spelling of 212381568 in words is "two hundred twelve million, three hundred eighty-one thousand, five hundred sixty-eight".