212195648 has 112 divisors (see below), whose sum is σ = 513770880. Its totient is φ = 84934656.

The previous prime is 212195617. The next prime is 212195653. The reversal of 212195648 is 846591212.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (38).

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, 825536 + ... + 825792.

It is an arithmetic number, because the mean of its divisors is an integer number (4587240).

Almost surely, 2^212195648 is an apocalyptic number.

212195648 is a gapful number since it is divisible by the number (28) 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 212195648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256885440).

212195648 is an abundant number, since it is smaller than the sum of its proper divisors (301575232).

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

212195648 is a wasteful number, since it uses less digits than its factorization.

212195648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 382 counting only the distinct ones).

The product of its digits is 34560, while the sum is 38.

The square root of 212195648 is about 14566.9368090893. The cubic root of 212195648 is about 596.4565665125.

The spelling of 212195648 in words is "two hundred twelve million, one hundred ninety-five thousand, six hundred forty-eight".