289624896 has 168 divisors, whose sum is σ = 939722784. Its totient is φ = 87713280.

The previous prime is 289624879. The next prime is 289624919. The reversal of 289624896 is 698426982.

It is a happy number.

289624896 is a `hidden beast` number, since 2 + 8 + 9 + 624 + 8 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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, 170226 + ... + 171918.

It is an arithmetic number, because the mean of its divisors is an integer number (5593588).

Almost surely, 2^289624896 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 289624896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469861392).

289624896 is an abundant number, since it is smaller than the sum of its proper divisors (650097888).

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

289624896 is a wasteful number, since it uses less digits than its factorization.

289624896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731 (or 1709 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 289624896 is about 17018.3693695959. The cubic root of 289624896 is about 661.6250862532.

The spelling of 289624896 in words is "two hundred eighty-nine million, six hundred twenty-four thousand, eight hundred ninety-six".