212033680 has 40 divisors (see below), whose sum is σ = 506309112. Its totient is φ = 82520064.

The previous prime is 212033629. The next prime is 212033687. The reversal of 212033680 is 86330212.

It can be written as a sum of positive squares in 4 ways, for example, as 25765776 + 186267904 = 5076^2 + 13648^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (212033687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32857 + ... + 38776.

Almost surely, 2^212033680 is an apocalyptic number.

212033680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212033680 is an abundant number, since it is smaller than the sum of its proper divisors (294275432).

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

212033680 is a wasteful number, since it uses less digits than its factorization.

212033680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71683 (or 71677 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 212033680 is about 14561.3763085774. The cubic root of 212033680 is about 596.3047703307.

Adding to 212033680 its reverse (86330212), we get a palindrome (298363892).

The spelling of 212033680 in words is "two hundred twelve million, thirty-three thousand, six hundred eighty".