212761440 has 144 divisors (see below), whose sum is σ = 736628256. Its totient is φ = 55910400.

The previous prime is 212761397. The next prime is 212761459. The reversal of 212761440 is 44167212.

212761440 is a `hidden beast` number, since 2 + 1 + 2 + 7 + 614 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101200 + ... + 103280.

It is an arithmetic number, because the mean of its divisors is an integer number (5115474).

Almost surely, 2^212761440 is an apocalyptic number.

212761440 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 212761440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368314128).

212761440 is an abundant number, since it is smaller than the sum of its proper divisors (523866816).

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

212761440 is a wasteful number, since it uses less digits than its factorization.

212761440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 212761440 is about 14586.3442986925. The cubic root of 212761440 is about 596.9862205686.

The spelling of 212761440 in words is "two hundred twelve million, seven hundred sixty-one thousand, four hundred forty".