200160240 has 160 divisors (see below), whose sum is σ = 713335296. Its totient is φ = 45480960.

The previous prime is 200160239. The next prime is 200160287. The reversal of 200160240 is 42061002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 475230 + ... + 475650.

Almost surely, 2^200160240 is an apocalyptic number.

200160240 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 200160240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356667648).

200160240 is an abundant number, since it is smaller than the sum of its proper divisors (513175056).

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

200160240 is a wasteful number, since it uses less digits than its factorization.

200160240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 200160240 is about 14147.7998289487. The cubic root of 200160240 is about 584.9596874844.

The spelling of 200160240 in words is "two hundred million, one hundred sixty thousand, two hundred forty".