201262320 has 560 divisors, whose sum is σ = 878247360. Its totient is φ = 41803776.

The previous prime is 201262273. The next prime is 201262331. The reversal of 201262320 is 23262102.

201262320 is a `hidden beast` number, since 20 + 1 + 2 + 623 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201262293 and 201262302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6940066 + ... + 6940094.

Almost surely, 2^201262320 is an apocalyptic number.

201262320 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 201262320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439123680).

201262320 is an abundant number, since it is smaller than the sum of its proper divisors (676985040).

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

201262320 is a wasteful number, since it uses less digits than its factorization.

201262320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 201262320 is about 14186.6951754100. The cubic root of 201262320 is about 586.0313168818.

The spelling of 201262320 in words is "two hundred one million, two hundred sixty-two thousand, three hundred twenty".