200957120 has 224 divisors, whose sum is σ = 603552768. Its totient is φ = 62042112.

The previous prime is 200957117. The next prime is 200957143. The reversal of 200957120 is 21759002.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 200957120.

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, 1950989 + ... + 1951091.

It is an arithmetic number, because the mean of its divisors is an integer number (2694432).

Almost surely, 2^200957120 is an apocalyptic number.

200957120 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 200957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301776384).

200957120 is an abundant number, since it is smaller than the sum of its proper divisors (402595648).

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

200957120 is a wasteful number, since it uses less digits than its factorization.

200957120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 200957120 is about 14175.9345370949. The cubic root of 200957120 is about 585.7349420777.

The spelling of 200957120 in words is "two hundred million, nine hundred fifty-seven thousand, one hundred twenty".