202416160 has 24 divisors (see below), whose sum is σ = 478208556. Its totient is φ = 80966400.

The previous prime is 202416157. The next prime is 202416163. The reversal of 202416160 is 61614202.

It is an interprime number because it is at equal distance from previous prime (202416157) and next prime (202416163).

It can be written as a sum of positive squares in 2 ways, for example, as 199713424 + 2702736 = 14132^2 + 1644^2 .

It is not an unprimeable number, because it can be changed into a prime (202416163) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 632391 + ... + 632710.

Almost surely, 2^202416160 is an apocalyptic number.

202416160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202416160 is an abundant number, since it is smaller than the sum of its proper divisors (275792396).

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

202416160 is a wasteful number, since it uses less digits than its factorization.

202416160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265116 (or 1265108 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 202416160 is about 14227.3033284597. The cubic root of 202416160 is about 587.1490923949.

The spelling of 202416160 in words is "two hundred two million, four hundred sixteen thousand, one hundred sixty".