290088960 has 384 divisors, whose sum is σ = 1132185600. Its totient is φ = 61931520.

The previous prime is 290088947. The next prime is 290088971. The reversal of 290088960 is 69880092.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4085725 + ... + 4085795.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 2^290088960 is an apocalyptic number.

290088960 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 290088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566092800).

290088960 is an abundant number, since it is smaller than the sum of its proper divisors (842096640).

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

290088960 is a wasteful number, since it uses less digits than its factorization.

290088960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 290088960 is about 17031.9981211836. The cubic root of 290088960 is about 661.9782701435.

The spelling of 290088960 in words is "two hundred ninety million, eighty-eight thousand, nine hundred sixty".