212795904 has 160 divisors (see below), whose sum is σ = 604961280. Its totient is φ = 66355200.

The previous prime is 212795893. The next prime is 212795911. The reversal of 212795904 is 409597212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1952202 + ... + 1952310.

It is an arithmetic number, because the mean of its divisors is an integer number (3781008).

Almost surely, 2^212795904 is an apocalyptic number.

212795904 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 212795904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302480640).

212795904 is an abundant number, since it is smaller than the sum of its proper divisors (392165376).

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

212795904 is a wasteful number, since it uses less digits than its factorization.

212795904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 212795904 is about 14587.5256297975. The cubic root of 212795904 is about 597.0184529479.

The spelling of 212795904 in words is "two hundred twelve million, seven hundred ninety-five thousand, nine hundred four".