201864740 has 96 divisors (see below), whose sum is σ = 556416000. Its totient is φ = 59598720.

The previous prime is 201864709. The next prime is 201864779. The reversal of 201864740 is 47468102.

It is a junction number, because it is equal to n+sod(n) for n = 201864697 and 201864706.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25811 + ... + 32709.

It is an arithmetic number, because the mean of its divisors is an integer number (5796000).

Almost surely, 2^201864740 is an apocalyptic number.

201864740 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 201864740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278208000).

201864740 is an abundant number, since it is smaller than the sum of its proper divisors (354551260).

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

201864740 is a wasteful number, since it uses less digits than its factorization.

201864740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6945 (or 6943 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 201864740 is about 14207.9111765242. The cubic root of 201864740 is about 586.6154390244.

The spelling of 201864740 in words is "two hundred one million, eight hundred sixty-four thousand, seven hundred forty".