212861376 has 336 divisors, whose sum is σ = 781068288. Its totient is φ = 53913600.

The previous prime is 212861353. The next prime is 212861387. The reversal of 212861376 is 673168212.

212861376 is a `hidden beast` number, since 2 + 1 + 286 + 1 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×212861376² = 90619930785226752, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 212861376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1624831 + ... + 1624961.

It is an arithmetic number, because the mean of its divisors is an integer number (2324608).

Almost surely, 2^212861376 is an apocalyptic number.

212861376 is a gapful number since it is divisible by the number (26) 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 212861376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390534144).

212861376 is an abundant number, since it is smaller than the sum of its proper divisors (568206912).

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

212861376 is a wasteful number, since it uses less digits than its factorization.

212861376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 187 counting only the distinct ones).

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

The square root of 212861376 is about 14589.7695663777. The cubic root of 212861376 is about 597.0796759058.

It can be divided in two parts, 2128 and 61376, that added together give a square (63504 = 252²).

The spelling of 212861376 in words is "two hundred twelve million, eight hundred sixty-one thousand, three hundred seventy-six".