290268160 has 264 divisors, whose sum is σ = 882093240. Its totient is φ = 90832896.

The previous prime is 290268157. The next prime is 290268161. The reversal of 290268160 is 61862092.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 451584 + 289816576 = 672^2 + 17024^2 .

It is not an unprimeable number, because it can be changed into a prime (290268161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3261396 + ... + 3261484.

Almost surely, 2^290268160 is an apocalyptic number.

290268160 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 290268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441046620).

290268160 is an abundant number, since it is smaller than the sum of its proper divisors (591825080).

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

290268160 is a wasteful number, since it uses less digits than its factorization.

290268160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 290268160 is about 17037.2579953466. The cubic root of 290268160 is about 662.1145525762.

The spelling of 290268160 in words is "two hundred ninety million, two hundred sixty-eight thousand, one hundred sixty".