212696640 has 504 divisors, whose sum is σ = 870143040. Its totient is φ = 47443968.

The previous prime is 212696599. The next prime is 212696657. The reversal of 212696640 is 46696212.

212696640 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 9 + 6 + 640 = 666.

212696640 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 212696595 and 212696604.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9247669 + ... + 9247691.

Almost surely, 2^212696640 is an apocalyptic number.

212696640 is a gapful number since it is divisible by the number (20) 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 212696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435071520).

212696640 is an abundant number, since it is smaller than the sum of its proper divisors (657446400).

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

212696640 is a wasteful number, since it uses less digits than its factorization.

212696640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 212696640 is about 14584.1228738653. The cubic root of 212696640 is about 596.9256070867.

The spelling of 212696640 in words is "two hundred twelve million, six hundred ninety-six thousand, six hundred forty".