212816736 has 216 divisors, whose sum is σ = 690161472. Its totient is φ = 62092800.

The previous prime is 212816729. The next prime is 212816743. The reversal of 212816736 is 637618212.

212816736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212816729) and next prime (212816743).

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

It is a self number, because there is not a number n which added to its sum of digits gives 212816736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1080190 + ... + 1080386.

It is an arithmetic number, because the mean of its divisors is an integer number (3195192).

Almost surely, 2^212816736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212816736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345080736).

212816736 is an abundant number, since it is smaller than the sum of its proper divisors (477344736).

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

212816736 is a wasteful number, since it uses less digits than its factorization.

212816736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 244 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 212816736 is about 14588.2396470582. The cubic root of 212816736 is about 597.0379343420.

The spelling of 212816736 in words is "two hundred twelve million, eight hundred sixteen thousand, seven hundred thirty-six".