211696128 has 120 divisors (see below), whose sum is σ = 698357088. Its totient is φ = 60475392.

The previous prime is 211696109. The next prime is 211696153. The reversal of 211696128 is 821696112.

211696128 is a `hidden beast` number, since 21 + 16 + 9 + 612 + 8 = 666.

It is a super-2 number, since 2×211696128² = 89630501220384768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 211696092 and 211696101.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 28975 + ... + 35537.

Almost surely, 2^211696128 is an apocalyptic number.

211696128 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 211696128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349178544).

211696128 is an abundant number, since it is smaller than the sum of its proper divisors (486660960).

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

211696128 is an equidigital number, since it uses as much as digits as its factorization.

211696128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6594 (or 6575 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 211696128 is about 14549.7810292801. The cubic root of 211696128 is about 595.9881684662.

The spelling of 211696128 in words is "two hundred eleven million, six hundred ninety-six thousand, one hundred twenty-eight".