287045640 has 256 divisors, whose sum is σ = 1120204800. Its totient is φ = 64012032.

The previous prime is 287045617. The next prime is 287045641. The reversal of 287045640 is 46540782.

287045640 is a `hidden beast` number, since 2 + 8 + 7 + 0 + 4 + 5 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 287045595 and 287045604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287045641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 324639 + ... + 325521.

It is an arithmetic number, because the mean of its divisors is an integer number (4375800).

Almost surely, 2^287045640 is an apocalyptic number.

287045640 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 287045640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560102400).

287045640 is an abundant number, since it is smaller than the sum of its proper divisors (833159160).

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

287045640 is a wasteful number, since it uses less digits than its factorization.

287045640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 287045640 is about 16942.4213145583. The cubic root of 287045640 is about 659.6551917917.

The spelling of 287045640 in words is "two hundred eighty-seven million, forty-five thousand, six hundred forty".