287561664 has 280 divisors, whose sum is σ = 975865968. Its totient is φ = 82944000.

The previous prime is 287561653. The next prime is 287561707. The reversal of 287561664 is 466165782.

287561664 is a `hidden beast` number, since 2 + 87 + 561 + 6 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1145539 + ... + 1145789.

Almost surely, 2^287561664 is an apocalyptic number.

287561664 is a gapful number since it is divisible by the number (24) 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 287561664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487932984).

287561664 is an abundant number, since it is smaller than the sum of its proper divisors (688304304).

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

287561664 is a wasteful number, since it uses less digits than its factorization.

287561664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 286 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 287561664 is about 16957.6432324778. The cubic root of 287561664 is about 660.0502441088.

The spelling of 287561664 in words is "two hundred eighty-seven million, five hundred sixty-one thousand, six hundred sixty-four".