282616560 has 80 divisors (see below), whose sum is σ = 973464480. Its totient is φ = 75363840.

The previous prime is 282616501. The next prime is 282616573. The reversal of 282616560 is 65616282.

282616560 is a `hidden beast` number, since 2 + 82 + 6 + 16 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 63261 + ... + 67580.

It is an arithmetic number, because the mean of its divisors is an integer number (12168306).

Almost surely, 2^282616560 is an apocalyptic number.

282616560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

282616560 is an abundant number, since it is smaller than the sum of its proper divisors (690847920).

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

282616560 is a wasteful number, since it uses less digits than its factorization.

282616560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130863 (or 130851 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 282616560 is about 16811.2034072520. The cubic root of 282616560 is about 656.2447901627.

The spelling of 282616560 in words is "two hundred eighty-two million, six hundred sixteen thousand, five hundred sixty".