287878340 has 48 divisors (see below), whose sum is σ = 644302512. Its totient is φ = 107667456.

The previous prime is 287878321. The next prime is 287878363. The reversal of 287878340 is 43878782.

287878340 = T₂₅₆₀ + T₂₅₆₁ + ... + T₂₆₄₄.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 18130564 + 269747776 = 4258^2 + 16424^2 .

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, 50684 + ... + 56076.

It is an arithmetic number, because the mean of its divisors is an integer number (13422969).

Almost surely, 2^287878340 is an apocalyptic number.

287878340 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 287878340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322151256).

287878340 is an abundant number, since it is smaller than the sum of its proper divisors (356424172).

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

287878340 is a wasteful number, since it uses less digits than its factorization.

287878340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5576 (or 5574 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 47.

The square root of 287878340 is about 16966.9779277277. The cubic root of 287878340 is about 660.2924476846.

It can be divided in two parts, 2878 and 78340, that added together give a palindrome (81218).

The spelling of 287878340 in words is "two hundred eighty-seven million, eight hundred seventy-eight thousand, three hundred forty".