290068128 has 216 divisors, whose sum is σ = 991212768. Its totient is φ = 81741312.

The previous prime is 290068109. The next prime is 290068133. The reversal of 290068128 is 821860092.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 290068092 and 290068101.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3973500 + ... + 3973572.

It is an arithmetic number, because the mean of its divisors is an integer number (4588948).

Almost surely, 2^290068128 is an apocalyptic number.

290068128 is a gapful number since it is divisible by the number (28) 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 290068128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495606384).

290068128 is an abundant number, since it is smaller than the sum of its proper divisors (701144640).

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

290068128 is an frugal number, since it uses more digits than its factorization.

290068128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 290068128 is about 17031.3865554159. The cubic root of 290068128 is about 661.9624236695.

The spelling of 290068128 in words is "two hundred ninety million, sixty-eight thousand, one hundred twenty-eight".