202032160 has 96 divisors (see below), whose sum is σ = 524289024. Its totient is φ = 72960000.

The previous prime is 202032121. The next prime is 202032167. The reversal of 202032160 is 61230202.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (202032167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 335860 + ... + 336460.

It is an arithmetic number, because the mean of its divisors is an integer number (5461344).

Almost surely, 2^202032160 is an apocalyptic number.

202032160 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 202032160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262144512).

202032160 is an abundant number, since it is smaller than the sum of its proper divisors (322256864).

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

202032160 is a wasteful number, since it uses less digits than its factorization.

202032160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 202032160 is about 14213.8017433760. The cubic root of 202032160 is about 586.7775674184. Note that the first 3 decimals are identical.

Adding to 202032160 its reverse (61230202), we get a palindrome (263262362).

The spelling of 202032160 in words is "two hundred two million, thirty-two thousand, one hundred sixty".