211676742 has 96 divisors (see below), whose sum is σ = 498401280. Its totient is φ = 64774080.

The previous prime is 211676737. The next prime is 211676747. The reversal of 211676742 is 247676112.

It is an interprime number because it is at equal distance from previous prime (211676737) and next prime (211676747).

It is a junction number, because it is equal to n+sod(n) for n = 211676697 and 211676706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211676747) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1666683 + ... + 1666809.

It is an arithmetic number, because the mean of its divisors is an integer number (5191680).

Almost surely, 2^211676742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211676742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249200640).

211676742 is an abundant number, since it is smaller than the sum of its proper divisors (286724538).

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

211676742 is a wasteful number, since it uses less digits than its factorization.

211676742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 295 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 211676742 is about 14549.1148184348. The cubic root of 211676742 is about 595.9699754405.

The spelling of 211676742 in words is "two hundred eleven million, six hundred seventy-six thousand, seven hundred forty-two".