212788576 has 216 divisors, whose sum is σ = 583551864. Its totient is φ = 75479040.

The previous prime is 212788529. The next prime is 212788651. The reversal of 212788576 is 675887212.

212788576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×212788576² = 90557956152215552, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2914876 + ... + 2914948.

It is an arithmetic number, because the mean of its divisors is an integer number (2701629).

Almost surely, 2^212788576 is an apocalyptic number.

212788576 is a gapful number since it is divisible by the number (26) 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 212788576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291775932).

212788576 is an abundant number, since it is smaller than the sum of its proper divisors (370763288).

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

212788576 is a wasteful number, since it uses less digits than its factorization.

212788576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 106 counting only the distinct ones).

The product of its digits is 376320, while the sum is 46.

The square root of 212788576 is about 14587.2744541261. The cubic root of 212788576 is about 597.0115997436.

The spelling of 212788576 in words is "two hundred twelve million, seven hundred eighty-eight thousand, five hundred seventy-six".