201292016 has 40 divisors (see below), whose sum is σ = 406484400. Its totient is φ = 96445440.

The previous prime is 201291983. The next prime is 201292027. The reversal of 201292016 is 610292102.

It is a junction number, because it is equal to n+sod(n) for n = 201291982 and 201292000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62936 + ... + 66056.

It is an arithmetic number, because the mean of its divisors is an integer number (10162110).

Almost surely, 2^201292016 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 201292016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203242200).

201292016 is an abundant number, since it is smaller than the sum of its proper divisors (205192384).

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

201292016 is a wasteful number, since it uses less digits than its factorization.

201292016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3297 (or 3291 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 201292016 is about 14187.7417512443. The cubic root of 201292016 is about 586.0601381901.

The spelling of 201292016 in words is "two hundred one million, two hundred ninety-two thousand, sixteen".