288667920 has 40 divisors (see below), whose sum is σ = 894871296. Its totient is φ = 76978048.

The previous prime is 288667891. The next prime is 288667957. The reversal of 288667920 is 29766882.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 288667920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 601152 + ... + 601631.

Almost surely, 2^288667920 is an apocalyptic number.

288667920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288667920 is an abundant number, since it is smaller than the sum of its proper divisors (606203376).

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

288667920 is a wasteful number, since it uses less digits than its factorization.

288667920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202799 (or 1202793 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 288667920 is about 16990.2301338151. The cubic root of 288667920 is about 660.8955702712.

The spelling of 288667920 in words is "two hundred eighty-eight million, six hundred sixty-seven thousand, nine hundred twenty".