212488640 has 112 divisors (see below), whose sum is σ = 622840512. Its totient is φ = 67239936.

The previous prime is 212488621. The next prime is 212488643. The reversal of 212488640 is 46884212.

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 (35).

It is a self number, because there is not a number n which added to its sum of digits gives 212488640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212488643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25472 + ... + 32768.

It is an arithmetic number, because the mean of its divisors is an integer number (5561076).

Almost surely, 2^212488640 is an apocalyptic number.

212488640 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 212488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311420256).

212488640 is an abundant number, since it is smaller than the sum of its proper divisors (410351872).

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

212488640 is a wasteful number, since it uses less digits than its factorization.

212488640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7334 (or 7324 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 212488640 is about 14576.9900871202. The cubic root of 212488640 is about 596.7309620730.

The spelling of 212488640 in words is "two hundred twelve million, four hundred eighty-eight thousand, six hundred forty".