201292920 has 192 divisors, whose sum is σ = 715703040. Its totient is φ = 48844800.

The previous prime is 201292919. The next prime is 201292943. The reversal of 201292920 is 29292102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189190 + ... + 190250.

It is an arithmetic number, because the mean of its divisors is an integer number (3727620).

Almost surely, 2^201292920 is an apocalyptic number.

201292920 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 201292920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357851520).

201292920 is an abundant number, since it is smaller than the sum of its proper divisors (514410120).

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

201292920 is a wasteful number, since it uses less digits than its factorization.

201292920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 201292920 is about 14187.7736096965. The cubic root of 201292920 is about 586.0610155185.

The spelling of 201292920 in words is "two hundred one million, two hundred ninety-two thousand, nine hundred twenty".