212916640 has 48 divisors (see below), whose sum is σ = 504094752. Its totient is φ = 84984064.

The previous prime is 212916623. The next prime is 212916673. The reversal of 212916640 is 46619212.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92787 + ... + 95053.

It is an arithmetic number, because the mean of its divisors is an integer number (10501974).

Almost surely, 2^212916640 is an apocalyptic number.

212916640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212916640 is an abundant number, since it is smaller than the sum of its proper divisors (291178112).

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

212916640 is a wasteful number, since it uses less digits than its factorization.

212916640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2869 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 212916640 is about 14591.6633733101. The cubic root of 212916640 is about 597.1313435790.

It can be divided in two parts, 2129 and 16640, that added together give a square (18769 = 137²).

The spelling of 212916640 in words is "two hundred twelve million, nine hundred sixteen thousand, six hundred forty".