201616128 has 216 divisors, whose sum is σ = 690446848. Its totient is φ = 57480192.

The previous prime is 201616117. The next prime is 201616153. The reversal of 201616128 is 821616102.

201616128 is a `hidden beast` number, since 20 + 1 + 616 + 1 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 435225 + ... + 435687.

Almost surely, 2^201616128 is an apocalyptic number.

201616128 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 201616128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345223424).

201616128 is an abundant number, since it is smaller than the sum of its proper divisors (488830720).

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

201616128 is an frugal number, since it uses more digits than its factorization.

201616128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 201616128 is about 14199.1594117398. The cubic root of 201616128 is about 586.3745193712.

The spelling of 201616128 in words is "two hundred one million, six hundred sixteen thousand, one hundred twenty-eight".