212798040 has 192 divisors, whose sum is σ = 790560000. Its totient is φ = 44868096.

The previous prime is 212798029. The next prime is 212798057. The reversal of 212798040 is 40897212.

It is a happy number.

212798040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212797992 and 212798010.

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 47 ways as a sum of consecutive naturals, for example, 141211 + ... + 142709.

It is an arithmetic number, because the mean of its divisors is an integer number (4117500).

Almost surely, 2^212798040 is an apocalyptic number.

212798040 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 212798040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395280000).

212798040 is an abundant number, since it is smaller than the sum of its proper divisors (577761960).

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

212798040 is a wasteful number, since it uses less digits than its factorization.

212798040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 212798040 is about 14587.5988428528. The cubic root of 212798040 is about 597.0204505226.

The spelling of 212798040 in words is "two hundred twelve million, seven hundred ninety-eight thousand, forty".