287930160 has 320 divisors, whose sum is σ = 1149926400. Its totient is φ = 64862208.

The previous prime is 287930147. The next prime is 287930179. The reversal of 287930160 is 61039782.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2071371 + ... + 2071509.

It is an arithmetic number, because the mean of its divisors is an integer number (3593520).

Almost surely, 2^287930160 is an apocalyptic number.

287930160 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 287930160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574963200).

287930160 is an abundant number, since it is smaller than the sum of its proper divisors (861996240).

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

287930160 is a wasteful number, since it uses less digits than its factorization.

287930160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 287930160 is about 16968.5049429819. The cubic root of 287930160 is about 660.3320643062.

The spelling of 287930160 in words is "two hundred eighty-seven million, nine hundred thirty thousand, one hundred sixty".