202048160 has 48 divisors (see below), whose sum is σ = 479527776. Its totient is φ = 80448768.

The previous prime is 202048153. The next prime is 202048183. The reversal of 202048160 is 61840202.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33539 + ... + 39101.

It is an arithmetic number, because the mean of its divisors is an integer number (9990162).

Almost surely, 2^202048160 is an apocalyptic number.

202048160 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 202048160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239763888).

202048160 is an abundant number, since it is smaller than the sum of its proper divisors (277479616).

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

202048160 is a wasteful number, since it uses less digits than its factorization.

202048160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5805 (or 5797 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 202048160 is about 14214.3645654669. The cubic root of 202048160 is about 586.7930570204.

Adding to 202048160 its reverse (61840202), we get a palindrome (263888362).

The spelling of 202048160 in words is "two hundred two million, forty-eight thousand, one hundred sixty".