66201408 has 224 divisors, whose sum is σ = 240101120. Its totient is φ = 17418240.

The previous prime is 66201407. The next prime is 66201413. The reversal of 66201408 is 80410266.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 66201408 = 64³ + 404³ = 258³ + 366³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66201407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157038 + ... + 157458.

It is an arithmetic number, because the mean of its divisors is an integer number (1071880).

Almost surely, 2^66201408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66201408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120050560).

66201408 is an abundant number, since it is smaller than the sum of its proper divisors (173899712).

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

66201408 is a wasteful number, since it uses less digits than its factorization.

66201408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 446 counting only the distinct ones).

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

The square root of 66201408 is about 8136.4247676728. The cubic root of 66201408 is about 404.5346644477.

The spelling of 66201408 in words is "sixty-six million, two hundred one thousand, four hundred eight".