287080640 has 224 divisors, whose sum is σ = 870801408. Its totient is φ = 87552000.

The previous prime is 287080637. The next prime is 287080643. The reversal of 287080640 is 46080782.

It is an interprime number because it is at equal distance from previous prime (287080637) and next prime (287080643).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 287080640.

It is not an unprimeable number, because it can be changed into a prime (287080643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1502945 + ... + 1503135.

Almost surely, 2^287080640 is an apocalyptic number.

287080640 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 287080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435400704).

287080640 is an abundant number, since it is smaller than the sum of its proper divisors (583720768).

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

287080640 is a wasteful number, since it uses less digits than its factorization.

287080640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 287080640 is about 16943.4541932866. The cubic root of 287080640 is about 659.6820016902.

The spelling of 287080640 in words is "two hundred eighty-seven million, eighty thousand, six hundred forty".