200891040 has 192 divisors, whose sum is σ = 765967104. Its totient is φ = 43204608.

The previous prime is 200891027. The next prime is 200891051. The reversal of 200891040 is 40198002.

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 200891040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55362 + ... + 58878.

It is an arithmetic number, because the mean of its divisors is an integer number (3989412).

Almost surely, 2^200891040 is an apocalyptic number.

200891040 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 200891040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382983552).

200891040 is an abundant number, since it is smaller than the sum of its proper divisors (565076064).

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

200891040 is a wasteful number, since it uses less digits than its factorization.

200891040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3559 (or 3551 counting only the distinct ones).

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

The square root of 200891040 is about 14173.6036349264. The cubic root of 200891040 is about 585.6707333413.

The spelling of 200891040 in words is "two hundred million, eight hundred ninety-one thousand, forty".