212666040 has 128 divisors (see below), whose sum is σ = 719712000. Its totient is φ = 55845504.

The previous prime is 212666033. The next prime is 212666053. The reversal of 212666040 is 40666212.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 212665995 and 212666013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70891 + ... + 73829.

It is an arithmetic number, because the mean of its divisors is an integer number (5622750).

Almost surely, 2^212666040 is an apocalyptic number.

212666040 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 212666040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359856000).

212666040 is an abundant number, since it is smaller than the sum of its proper divisors (507045960).

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

212666040 is a wasteful number, since it uses less digits than its factorization.

212666040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3026 (or 3016 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 212666040 is about 14583.0737500707. The cubic root of 212666040 is about 596.8969797741.

The spelling of 212666040 in words is "two hundred twelve million, six hundred sixty-six thousand, forty".