289068416 has 192 divisors, whose sum is σ = 752613120. Its totient is φ = 108066816.

The previous prime is 289068401. The next prime is 289068427. The reversal of 289068416 is 614860982.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3482711 + ... + 3482793.

It is an arithmetic number, because the mean of its divisors is an integer number (3919860).

Almost surely, 2^289068416 is an apocalyptic number.

289068416 is a gapful number since it is divisible by the number (26) 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 289068416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376306560).

289068416 is an abundant number, since it is smaller than the sum of its proper divisors (463544704).

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

289068416 is a wasteful number, since it uses less digits than its factorization.

289068416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The square root of 289068416 is about 17002.0121162173. The cubic root of 289068416 is about 661.2010697747.

The spelling of 289068416 in words is "two hundred eighty-nine million, sixty-eight thousand, four hundred sixteen".