201636864 has 440 divisors, whose sum is σ = 749005488. Its totient is φ = 53084160.

The previous prime is 201636839. The next prime is 201636917. The reversal of 201636864 is 468636102.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11860984 + ... + 11861000.

Almost surely, 2^201636864 is an apocalyptic number.

201636864 is a gapful number since it is divisible by the number (24) 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 201636864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374502744).

201636864 is an abundant number, since it is smaller than the sum of its proper divisors (547368624).

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

201636864 is a wasteful number, since it uses less digits than its factorization.

201636864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 201636864 is about 14199.8895770354. The cubic root of 201636864 is about 586.3946213431.

It can be divided in two parts, 201636 and 864, that added together give a square (202500 = 450²).

The spelling of 201636864 in words is "two hundred one million, six hundred thirty-six thousand, eight hundred sixty-four".