201693408 has 144 divisors (see below), whose sum is σ = 628281360. Its totient is φ = 56469504.

The previous prime is 201693407. The next prime is 201693413. The reversal of 201693408 is 804396102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201693407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248908 + ... + 249716.

It is an arithmetic number, because the mean of its divisors is an integer number (4363065).

Almost surely, 2^201693408 is an apocalyptic number.

201693408 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 201693408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314140680).

201693408 is an abundant number, since it is smaller than the sum of its proper divisors (426587952).

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

201693408 is a wasteful number, since it uses less digits than its factorization.

201693408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 201693408 is about 14201.8804388715. The cubic root of 201693408 is about 586.4494294404.

The spelling of 201693408 in words is "two hundred one million, six hundred ninety-three thousand, four hundred eight".