288671040 has 560 divisors, whose sum is σ = 1233293952. Its totient is φ = 62705664.

The previous prime is 288671027. The next prime is 288671063. The reversal of 288671040 is 40176882.

It is a tau number, because it is divible by the number of its divisors (560).

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 = 288670986 and 288671004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6713259 + ... + 6713301.

Almost surely, 2^288671040 is an apocalyptic number.

288671040 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 288671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616646976).

288671040 is an abundant number, since it is smaller than the sum of its proper divisors (944622912).

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

288671040 is a wasteful number, since it uses less digits than its factorization.

288671040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 288671040 is about 16990.3219510402. The cubic root of 288671040 is about 660.8979513079.

The spelling of 288671040 in words is "two hundred eighty-eight million, six hundred seventy-one thousand, forty".