289760640 has 384 divisors, whose sum is σ = 1075161600. Its totient is φ = 66134016.

The previous prime is 289760609. The next prime is 289760657. The reversal of 289760640 is 46067982.

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

It is a super-2 number, since 2×289760640² = 167922456986419200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 289760592 and 289760601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6165097 + ... + 6165143.

It is an arithmetic number, because the mean of its divisors is an integer number (2799900).

Almost surely, 2^289760640 is an apocalyptic number.

289760640 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 289760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537580800).

289760640 is an abundant number, since it is smaller than the sum of its proper divisors (785400960).

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

289760640 is a wasteful number, since it uses less digits than its factorization.

289760640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 289760640 is about 17022.3570635796. The cubic root of 289760640 is about 661.7284355732.

The spelling of 289760640 in words is "two hundred eighty-nine million, seven hundred sixty thousand, six hundred forty".