200916040 has 128 divisors (see below), whose sum is σ = 516015360. Its totient is φ = 69848064.

The previous prime is 200916011. The next prime is 200916041. The reversal of 200916040 is 40619002.

200916040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (200916041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1279642 + ... + 1279798.

It is an arithmetic number, because the mean of its divisors is an integer number (4031370).

Almost surely, 2^200916040 is an apocalyptic number.

200916040 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 200916040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258007680).

200916040 is an abundant number, since it is smaller than the sum of its proper divisors (315099320).

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

200916040 is a wasteful number, since it uses less digits than its factorization.

200916040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 200916040 is about 14174.4855285827. The cubic root of 200916040 is about 585.6950270430.

The spelling of 200916040 in words is "two hundred million, nine hundred sixteen thousand, forty".