212641632 has 96 divisors (see below), whose sum is σ = 708825600. Its totient is φ = 60753024.

The previous prime is 212641631. The next prime is 212641651. The reversal of 212641632 is 236146212.

212641632 is a `hidden beast` number, since 2 + 1 + 26 + 4 + 1 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

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 = 212641596 and 212641605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212641631) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11532 + ... + 23627.

It is an arithmetic number, because the mean of its divisors is an integer number (7383600).

Almost surely, 2^212641632 is an apocalyptic number.

It is an amenable number.

212641632 is an abundant number, since it is smaller than the sum of its proper divisors (496183968).

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

212641632 is a wasteful number, since it uses less digits than its factorization.

212641632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35185 (or 35171 counting only the distinct ones).

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

The square root of 212641632 is about 14582.2368654469. The cubic root of 212641632 is about 596.8741433136.

Adding to 212641632 its reverse (236146212), we get a palindrome (448787844).

The spelling of 212641632 in words is "two hundred twelve million, six hundred forty-one thousand, six hundred thirty-two".