212735376 has 160 divisors (see below), whose sum is σ = 705669120. Its totient is φ = 60103296.

The previous prime is 212735339. The next prime is 212735407. The reversal of 212735376 is 673537212.

212735376 is a `hidden beast` number, since 212 + 73 + 5 + 376 = 666.

It is a super-2 number, since 2×212735376² = 90512680403722752, which contains 22 as substring.

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 212735376.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311131 + ... + 311813.

It is an arithmetic number, because the mean of its divisors is an integer number (4410432).

Almost surely, 2^212735376 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 212735376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352834560).

212735376 is an abundant number, since it is smaller than the sum of its proper divisors (492933744).

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

212735376 is a wasteful number, since it uses less digits than its factorization.

212735376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 798 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 212735376 is about 14585.4508329362. The cubic root of 212735376 is about 596.9618419590.

The spelling of 212735376 in words is "two hundred twelve million, seven hundred thirty-five thousand, three hundred seventy-six".