200960760 has 384 divisors, whose sum is σ = 827366400. Its totient is φ = 38384640.

The previous prime is 200960731. The next prime is 200960761. The reversal of 200960760 is 67069002.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200960761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 840721 + ... + 840959.

It is an arithmetic number, because the mean of its divisors is an integer number (2154600).

Almost surely, 2^200960760 is an apocalyptic number.

200960760 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 200960760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413683200).

200960760 is an abundant number, since it is smaller than the sum of its proper divisors (626405640).

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

200960760 is a wasteful number, since it uses less digits than its factorization.

200960760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 200960760 is about 14176.0629231109. The cubic root of 200960760 is about 585.7384785905.

The spelling of 200960760 in words is "two hundred million, nine hundred sixty thousand, seven hundred sixty".