290016 has 72 divisors (see below), whose sum is σ = 884520. Its totient is φ = 89856.

The previous prime is 290011. The next prime is 290021. The reversal of 290016 is 610092.

290016 = 23³ + 24³ + ... + 34³.

It is an interprime number because it is at equal distance from previous prime (290011) and next prime (290021).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5446 + ... + 5498.

It is an arithmetic number, because the mean of its divisors is an integer number (12285).

2²⁹⁰⁰¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442260).

290016 is an abundant number, since it is smaller than the sum of its proper divisors (594504).

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

290016 is a wasteful number, since it uses less digits than its factorization.

290016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 290016 is about 538.5313361356. The cubic root of 290016 is about 66.1922767647.

It can be divided in two parts, 2900 and 16, that added together give a square (2916 = 54²).

The spelling of 290016 in words is "two hundred ninety thousand, sixteen".