206416032 has 48 divisors (see below), whose sum is σ = 543013632. Its totient is φ = 68656640.

The previous prime is 206416027. The next prime is 206416037. The reversal of 206416032 is 230614602.

It is an interprime number because it is at equal distance from previous prime (206416027) and next prime (206416037).

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 junction number, because it is equal to n+sod(n) for n = 206415993 and 206416011.

It is not an unprimeable number, because it can be changed into a prime (206416037) 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, 47953 + ... + 52079.

It is an arithmetic number, because the mean of its divisors is an integer number (11312784).

Almost surely, 2^206416032 is an apocalyptic number.

It is an amenable number.

206416032 is an abundant number, since it is smaller than the sum of its proper divisors (336597600).

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

206416032 is a wasteful number, since it uses less digits than its factorization.

206416032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4661 (or 4653 counting only the distinct ones).

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

The square root of 206416032 is about 14367.1859457585. The cubic root of 206416032 is about 590.9913735818.

The spelling of 206416032 in words is "two hundred six million, four hundred sixteen thousand, thirty-two".