212484096 has 180 divisors, whose sum is σ = 674738064. Its totient is φ = 63897600.

The previous prime is 212484091. The next prime is 212484101. The reversal of 212484096 is 690484212.

212484096 is a `hidden beast` number, since 2 + 1 + 248 + 409 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (212484091) and next prime (212484101).

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

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 212484096.

It is not an unprimeable number, because it can be changed into a prime (212484091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1621951 + ... + 1622081.

Almost surely, 2^212484096 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 212484096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337369032).

212484096 is an abundant number, since it is smaller than the sum of its proper divisors (462253968).

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

212484096 is a wasteful number, since it uses less digits than its factorization.

212484096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 212484096 is about 14576.8342242066. The cubic root of 212484096 is about 596.7267084105.

The spelling of 212484096 in words is "two hundred twelve million, four hundred eighty-four thousand, ninety-six".