201864648 has 64 divisors (see below), whose sum is σ = 519563520. Its totient is φ = 65318400.

The previous prime is 201864631. The next prime is 201864667. The reversal of 201864648 is 846468102.

It is a super-2 number, since 2×201864648² = 81498672224327808, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266286 + ... + 267042.

It is an arithmetic number, because the mean of its divisors is an integer number (8118180).

Almost surely, 2^201864648 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 201864648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259781760).

201864648 is an abundant number, since it is smaller than the sum of its proper divisors (317698872).

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

201864648 is a wasteful number, since it uses less digits than its factorization.

201864648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 201864648 is about 14207.9079388909. The cubic root of 201864648 is about 586.6153499076.

It can be divided in two parts, 2018 and 64648, that added together give a palindrome (66666).

The spelling of 201864648 in words is "two hundred one million, eight hundred sixty-four thousand, six hundred forty-eight".