287630840 has 64 divisors (see below), whose sum is σ = 744629760. Its totient is φ = 97948800.

The previous prime is 287630831. The next prime is 287630881. The reversal of 287630840 is 48036782.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 287630794 and 287630803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38879 + ... + 45681.

It is an arithmetic number, because the mean of its divisors is an integer number (11634840).

Almost surely, 2^287630840 is an apocalyptic number.

287630840 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 287630840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372314880).

287630840 is an abundant number, since it is smaller than the sum of its proper divisors (456998920).

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

287630840 is a wasteful number, since it uses less digits than its factorization.

287630840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6972 (or 6968 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 287630840 is about 16959.6827800522. The cubic root of 287630840 is about 660.1031672213.

The spelling of 287630840 in words is "two hundred eighty-seven million, six hundred thirty thousand, eight hundred forty".