287169120 has 288 divisors, whose sum is σ = 1157345280. Its totient is φ = 63452160.

The previous prime is 287169031. The next prime is 287169121. The reversal of 287169120 is 21961782.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×287169120² = 164932206963148800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287169121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312021 + ... + 312939.

It is an arithmetic number, because the mean of its divisors is an integer number (4018560).

Almost surely, 2^287169120 is an apocalyptic number.

287169120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 287169120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578672640).

287169120 is an abundant number, since it is smaller than the sum of its proper divisors (870176160).

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

287169120 is a wasteful number, since it uses less digits than its factorization.

287169120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 287169120 is about 16946.0650299708. The cubic root of 287169120 is about 659.7497673977.

The spelling of 287169120 in words is "two hundred eighty-seven million, one hundred sixty-nine thousand, one hundred twenty".