200890368 has 240 divisors, whose sum is σ = 689729040. Its totient is φ = 57065472.

The previous prime is 200890307. The next prime is 200890387. The reversal of 200890368 is 863098002.

200890368 is a `hidden beast` number, since 200 + 8 + 90 + 368 = 666.

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 19 ways as a sum of consecutive naturals, for example, 1161130 + ... + 1161302.

It is an arithmetic number, because the mean of its divisors is an integer number (2873871).

Almost surely, 2^200890368 is an apocalyptic number.

200890368 is a gapful number since it is divisible by the number (28) 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 200890368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344864520).

200890368 is an abundant number, since it is smaller than the sum of its proper divisors (488838672).

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

200890368 is an equidigital number, since it uses as much as digits as its factorization.

200890368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 200890368 is about 14173.5799288677. The cubic root of 200890368 is about 585.6700802988.

The spelling of 200890368 in words is "two hundred million, eight hundred ninety thousand, three hundred sixty-eight".