201668040 has 192 divisors, whose sum is σ = 759283200. Its totient is φ = 45467136.

The previous prime is 201668017. The next prime is 201668041. The reversal of 201668040 is 40866102.

It is a junction number, because it is equal to n+sod(n) for n = 201667995 and 201668013.

It is not an unprimeable number, because it can be changed into a prime (201668041) 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 47 ways as a sum of consecutive naturals, for example, 198574 + ... + 199586.

It is an arithmetic number, because the mean of its divisors is an integer number (3954600).

Almost surely, 2^201668040 is an apocalyptic number.

201668040 is a gapful number since it is divisible by the number (20) 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 201668040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379641600).

201668040 is an abundant number, since it is smaller than the sum of its proper divisors (557615160).

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

201668040 is a wasteful number, since it uses less digits than its factorization.

201668040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 201668040 is about 14200.9872896218. The cubic root of 201668040 is about 586.4248415060.

The spelling of 201668040 in words is "two hundred one million, six hundred sixty-eight thousand, forty".