287672560 has 160 divisors (see below), whose sum is σ = 803377152. Its totient is φ = 93726720.

The previous prime is 287672527. The next prime is 287672563. The reversal of 287672560 is 65276782.

It is a super-3 number, since 3×287672560³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287672563) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1267167 + ... + 1267393.

Almost surely, 2^287672560 is an apocalyptic number.

287672560 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 287672560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401688576).

287672560 is an abundant number, since it is smaller than the sum of its proper divisors (515704592).

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

287672560 is a wasteful number, since it uses less digits than its factorization.

287672560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The square root of 287672560 is about 16960.9127112900. The cubic root of 287672560 is about 660.1350810137.

The spelling of 287672560 in words is "two hundred eighty-seven million, six hundred seventy-two thousand, five hundred sixty".