206401632 has 48 divisors (see below), whose sum is σ = 565367040. Its totient is φ = 65808512.

The previous prime is 206401621. The next prime is 206401633. The reversal of 206401632 is 236104602.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206401633) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 44532 + ... + 48947.

It is an arithmetic number, because the mean of its divisors is an integer number (11778480).

Almost surely, 2^206401632 is an apocalyptic number.

It is an amenable number.

206401632 is an abundant number, since it is smaller than the sum of its proper divisors (358965408).

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

206401632 is a wasteful number, since it uses less digits than its factorization.

206401632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93515 (or 93507 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 206401632 is about 14366.6847950388. The cubic root of 206401632 is about 590.9776303442.

206401632 divided by its sum of digits (24) gives a palindrome (8600068).

The spelling of 206401632 in words is "two hundred six million, four hundred one thousand, six hundred thirty-two".