212917680 has 80 divisors (see below), whose sum is σ = 733390560. Its totient is φ = 56777472.

The previous prime is 212917669. The next prime is 212917687. The reversal of 212917680 is 86719212.

212917680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (212917687) 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, 47127 + ... + 51446.

It is an arithmetic number, because the mean of its divisors is an integer number (9167382).

Almost surely, 2^212917680 is an apocalyptic number.

212917680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212917680 is an abundant number, since it is smaller than the sum of its proper divisors (520472880).

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

212917680 is a wasteful number, since it uses less digits than its factorization.

212917680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98595 (or 98583 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 212917680 is about 14591.6990100536. The cubic root of 212917680 is about 597.1323158149.

The spelling of 212917680 in words is "two hundred twelve million, nine hundred seventeen thousand, six hundred eighty".