287064960 has 512 divisors, whose sum is σ = 1184440320. Its totient is φ = 57507840.

The previous prime is 287064959. The next prime is 287064971. The reversal of 287064960 is 69460782.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5416294 + ... + 5416346.

It is an arithmetic number, because the mean of its divisors is an integer number (2313360).

Almost surely, 2^287064960 is an apocalyptic number.

287064960 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 287064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592220160).

287064960 is an abundant number, since it is smaller than the sum of its proper divisors (897375360).

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

287064960 is a wasteful number, since it uses less digits than its factorization.

287064960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 287064960 is about 16942.9914714020. The cubic root of 287064960 is about 659.6699911251.

The spelling of 287064960 in words is "two hundred eighty-seven million, sixty-four thousand, nine hundred sixty".