295628160 has 128 divisors (see below), whose sum is σ = 951782400. Its totient is φ = 78043136.

The previous prime is 295628159. The next prime is 295628171. The reversal of 295628160 is 61826592.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204721 + ... + 206159.

It is an arithmetic number, because the mean of its divisors is an integer number (7435800).

Almost surely, 2^295628160 is an apocalyptic number.

295628160 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 295628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475891200).

295628160 is an abundant number, since it is smaller than the sum of its proper divisors (656154240).

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

295628160 is a wasteful number, since it uses less digits than its factorization.

295628160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 295628160 is about 17193.8407576667. The cubic root of 295628160 is about 666.1651873167.

The spelling of 295628160 in words is "two hundred ninety-five million, six hundred twenty-eight thousand, one hundred sixty".