288106080 has 48 divisors (see below), whose sum is σ = 907535664. Its totient is φ = 76828160.

The previous prime is 288106079. The next prime is 288106109. The reversal of 288106080 is 80601882.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×288106080² = 166010226665932800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 299631 + ... + 300590.

It is an arithmetic number, because the mean of its divisors is an integer number (18906993).

Almost surely, 2^288106080 is an apocalyptic number.

288106080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288106080 is an abundant number, since it is smaller than the sum of its proper divisors (619429584).

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

288106080 is a wasteful number, since it uses less digits than its factorization.

288106080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600239 (or 600231 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 288106080 is about 16973.6878727046. The cubic root of 288106080 is about 660.4665204841.

The spelling of 288106080 in words is "two hundred eighty-eight million, one hundred six thousand, eighty".