212865840 has 480 divisors, whose sum is σ = 877086720. Its totient is φ = 47001600.

The previous prime is 212865833. The next prime is 212865869. The reversal of 212865840 is 48568212.

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 = 212865795 and 212865804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6866625 + ... + 6866655.

It is an arithmetic number, because the mean of its divisors is an integer number (1827264).

Almost surely, 2^212865840 is an apocalyptic number.

212865840 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 212865840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438543360).

212865840 is an abundant number, since it is smaller than the sum of its proper divisors (664220880).

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

212865840 is a wasteful number, since it uses less digits than its factorization.

212865840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 212865840 is about 14589.9225494860. The cubic root of 212865840 is about 597.0838497412.

The spelling of 212865840 in words is "two hundred twelve million, eight hundred sixty-five thousand, eight hundred forty".