212952768 has 168 divisors, whose sum is σ = 680118528. Its totient is φ = 57497088.

The previous prime is 212952767. The next prime is 212952827. The reversal of 212952768 is 867259212.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (212952763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2565655 + ... + 2565737.

Almost surely, 2^212952768 is an apocalyptic number.

212952768 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 212952768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340059264).

212952768 is an abundant number, since it is smaller than the sum of its proper divisors (467165760).

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

212952768 is an equidigital number, since it uses as much as digits as its factorization.

212952768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 118 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 212952768 is about 14592.9012879550. The cubic root of 212952768 is about 597.1651157024.

The spelling of 212952768 in words is "two hundred twelve million, nine hundred fifty-two thousand, seven hundred sixty-eight".