288968 has 16 divisors (see below), whose sum is σ = 555660. Its totient is φ = 140800.

The previous prime is 288947. The next prime is 288973. The reversal of 288968 is 869882.

288968 = T₁₈₂ + T₁₈₃ + ... + T₁₉₇.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 232324 + 56644 = 482^2 + 238^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 113 + ... + 768.

2²⁸⁸⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

288968 is a deficient number, since it is larger than the sum of its proper divisors (266692).

288968 is a wasteful number, since it uses less digits than its factorization.

288968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 924 counting only the distinct ones).

The product of its digits is 55296, while the sum is 41.

The square root of 288968 is about 537.5574387914. The cubic root of 288968 is about 66.1124498679.

It can be divided in two parts, 288 and 968, that multiplied together give a square (278784 = 528²).

The spelling of 288968 in words is "two hundred eighty-eight thousand, nine hundred sixty-eight".