212898240 has 224 divisors, whose sum is σ = 770656320. Its totient is φ = 55296000.

The previous prime is 212898233. The next prime is 212898247. The reversal of 212898240 is 42898212.

It is an interprime number because it is at equal distance from previous prime (212898233) and next prime (212898247).

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

It is a junction number, because it is equal to n+sod(n) for n = 212898195 and 212898204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212898247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353940 + ... + 354540.

It is an arithmetic number, because the mean of its divisors is an integer number (3440430).

Almost surely, 2^212898240 is an apocalyptic number.

212898240 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 212898240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385328160).

212898240 is an abundant number, since it is smaller than the sum of its proper divisors (557758080).

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

212898240 is a wasteful number, since it uses less digits than its factorization.

212898240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 212898240 is about 14591.0328626866. The cubic root of 212898240 is about 597.1141419593.

The spelling of 212898240 in words is "two hundred twelve million, eight hundred ninety-eight thousand, two hundred forty".