212169840 has 80 divisors (see below), whose sum is σ = 675531168. Its totient is φ = 55047168.

The previous prime is 212169833. The next prime is 212169851. The reversal of 212169840 is 48961212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3067 + ... + 20826.

Almost surely, 2^212169840 is an apocalyptic number.

212169840 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 212169840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337765584).

212169840 is an abundant number, since it is smaller than the sum of its proper divisors (463361328).

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

212169840 is a wasteful number, since it uses less digits than its factorization.

212169840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23946 (or 23940 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 212169840 is about 14566.0509404574. The cubic root of 212169840 is about 596.4323844658.

The spelling of 212169840 in words is "two hundred twelve million, one hundred sixty-nine thousand, eight hundred forty".