212989680 has 60 divisors (see below), whose sum is σ = 715292760. Its totient is φ = 56797056.

The previous prime is 212989661. The next prime is 212989687. The reversal of 212989680 is 86989212.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212989687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147190 + ... + 148629.

It is an arithmetic number, because the mean of its divisors is an integer number (11921546).

Almost surely, 2^212989680 is an apocalyptic number.

212989680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212989680 is an abundant number, since it is smaller than the sum of its proper divisors (502303080).

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

212989680 is a wasteful number, since it uses less digits than its factorization.

212989680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295838 (or 295829 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 212989680 is about 14594.1659576695. The cubic root of 212989680 is about 597.1996167571.

It can be divided in two parts, 2129 and 89680, that added together give a square (91809 = 303²).

The spelling of 212989680 in words is "two hundred twelve million, nine hundred eighty-nine thousand, six hundred eighty".