290126160 has 120 divisors (see below), whose sum is σ = 997105824. Its totient is φ = 75559680.

The previous prime is 290126153. The next prime is 290126171. The reversal of 290126160 is 61621092.

It is a tau number, because it is divible by the number of its divisors (120).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26275 + ... + 35645.

Almost surely, 2^290126160 is an apocalyptic number.

290126160 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 290126160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498552912).

290126160 is an abundant number, since it is smaller than the sum of its proper divisors (706979664).

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

290126160 is a wasteful number, since it uses less digits than its factorization.

290126160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9433 (or 9424 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 290126160 is about 17033.0901482966. The cubic root of 290126160 is about 662.0065655315.

The spelling of 290126160 in words is "two hundred ninety million, one hundred twenty-six thousand, one hundred sixty".