211542968 has 64 divisors (see below), whose sum is σ = 516922560. Its totient is φ = 78759936.

The previous prime is 211542967. The next prime is 211542973. The reversal of 211542968 is 869245112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211542967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3830 + ... + 20922.

It is an arithmetic number, because the mean of its divisors is an integer number (8076915).

Almost surely, 2^211542968 is an apocalyptic number.

211542968 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 211542968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258461280).

211542968 is an abundant number, since it is smaller than the sum of its proper divisors (305379592).

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

211542968 is a wasteful number, since it uses less digits than its factorization.

211542968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17136 (or 17132 counting only the distinct ones).

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

The square root of 211542968 is about 14544.5167674970. The cubic root of 211542968 is about 595.8444033262.

The spelling of 211542968 in words is "two hundred eleven million, five hundred forty-two thousand, nine hundred sixty-eight".