212803840 has 108 divisors (see below), whose sum is σ = 529749612. Its totient is φ = 81899520.

The previous prime is 212803837. The next prime is 212803879. The reversal of 212803840 is 48308212.

212803840 = T₂₂₃ + T₂₂₄ + ... + T₁₀₈₇.

It can be written as a sum of positive squares in 2 ways, for example, as 141705216 + 71098624 = 11904^2 + 8432^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212803799 and 212803808.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1229994 + ... + 1230166.

It is an arithmetic number, because the mean of its divisors is an integer number (4905089).

Almost surely, 2^212803840 is an apocalyptic number.

212803840 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 212803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264874806).

212803840 is an abundant number, since it is smaller than the sum of its proper divisors (316945772).

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

212803840 is an equidigital number, since it uses as much as digits as its factorization.

212803840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 212803840 is about 14587.7976404939. The cubic root of 212803840 is about 597.0258745813.

The spelling of 212803840 in words is "two hundred twelve million, eight hundred three thousand, eight hundred forty".