288890160 has 80 divisors (see below), whose sum is σ = 964459104. Its totient is φ = 71110656.

The previous prime is 288890159. The next prime is 288890179. The reversal of 288890160 is 61098882.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 43177 + ... + 49416.

Almost surely, 2^288890160 is an apocalyptic number.

288890160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288890160 is an abundant number, since it is smaller than the sum of its proper divisors (675568944).

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

288890160 is a wasteful number, since it uses less digits than its factorization.

288890160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92622 (or 92616 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 288890160 is about 16996.7691047446. The cubic root of 288890160 is about 661.0651304529.

The spelling of 288890160 in words is "two hundred eighty-eight million, eight hundred ninety thousand, one hundred sixty".