200054088 has 144 divisors (see below), whose sum is σ = 602505540. Its totient is φ = 59904000.

The previous prime is 200054087. The next prime is 200054117. The reversal of 200054088 is 880450002.

200054088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 38713284 + 161340804 = 6222^2 + 12702^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200054087) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 498688 + ... + 499088.

Almost surely, 2^200054088 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 200054088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301252770).

200054088 is an abundant number, since it is smaller than the sum of its proper divisors (402451452).

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

200054088 is a wasteful number, since it uses less digits than its factorization.

200054088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 200054088 is about 14144.0477940369. The cubic root of 200054088 is about 584.8562609814.

The spelling of 200054088 in words is "two hundred million, fifty-four thousand, eighty-eight".