212004864 has 182 divisors, whose sum is σ = 644598936. Its totient is φ = 69672960.

The previous prime is 212004851. The next prime is 212004887. The reversal of 212004864 is 468400212.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2985949 + ... + 2986019.

Almost surely, 2^212004864 is an apocalyptic number.

212004864 is a gapful number since it is divisible by the number (24) 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 212004864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322299468).

212004864 is an abundant number, since it is smaller than the sum of its proper divisors (432594072).

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

212004864 is an frugal number, since it uses more digits than its factorization.

212004864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 212004864 is about 14560.3868080487. The cubic root of 212004864 is about 596.2777559169.

The spelling of 212004864 in words is "two hundred twelve million, four thousand, eight hundred sixty-four".