200901840 has 80 divisors (see below), whose sum is σ = 631382208. Its totient is φ = 52835328.

The previous prime is 200901817. The next prime is 200901859. The reversal of 200901840 is 48109002.

200901840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 200901840.

It is a congruent number.

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, 11787 + ... + 23253.

Almost surely, 2^200901840 is an apocalyptic number.

200901840 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 200901840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315691104).

200901840 is an abundant number, since it is smaller than the sum of its proper divisors (430480368).

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

200901840 is a wasteful number, since it uses less digits than its factorization.

200901840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11556 (or 11550 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 200901840 is about 14173.9846197179. The cubic root of 200901840 is about 585.6812284677.

The spelling of 200901840 in words is "two hundred million, nine hundred one thousand, eight hundred forty".