288993906 has 40 divisors (see below), whose sum is σ = 648782640. Its totient is φ = 96149592.

The previous prime is 288993893. The next prime is 288993907. The reversal of 288993906 is 609399882.

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

It is not an unprimeable number, because it can be changed into a prime (288993907) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 105405 + ... + 108111.

It is an arithmetic number, because the mean of its divisors is an integer number (16219566).

Almost surely, 2^288993906 is an apocalyptic number.

288993906 is an abundant number, since it is smaller than the sum of its proper divisors (359788734).

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

288993906 is a wasteful number, since it uses less digits than its factorization.

288993906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3380 (or 3371 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 288993906 is about 16999.8207637610. The cubic root of 288993906 is about 661.1442547065.

The spelling of 288993906 in words is "two hundred eighty-eight million, nine hundred ninety-three thousand, nine hundred six".