289181340 has 180 divisors, whose sum is σ = 1055572056. Its totient is φ = 66080448.

The previous prime is 289181327. The next prime is 289181341. The reversal of 289181340 is 43181982.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a junction number, because it is equal to n+sod(n) for n = 289181295 and 289181304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289181341) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 77559 + ... + 81201.

Almost surely, 2^289181340 is an apocalyptic number.

289181340 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 289181340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527786028).

289181340 is an abundant number, since it is smaller than the sum of its proper divisors (766390716).

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

289181340 is a wasteful number, since it uses less digits than its factorization.

289181340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3678 (or 3660 counting only the distinct ones).

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

The square root of 289181340 is about 17005.3326930113. The cubic root of 289181340 is about 661.2871575252.

The spelling of 289181340 in words is "two hundred eighty-nine million, one hundred eighty-one thousand, three hundred forty".