282631680 has 400 divisors, whose sum is σ = 1069485120. Its totient is φ = 71221248.

The previous prime is 282631673. The next prime is 282631697. The reversal of 282631680 is 86136282.

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 39 ways as a sum of consecutive naturals, for example, 6013417 + ... + 6013463.

Almost surely, 2^282631680 is an apocalyptic number.

282631680 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 282631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534742560).

282631680 is an abundant number, since it is smaller than the sum of its proper divisors (786853440).

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

282631680 is an equidigital number, since it uses as much as digits as its factorization.

282631680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 282631680 is about 16811.6531013461. The cubic root of 282631680 is about 656.2564929970.

The spelling of 282631680 in words is "two hundred eighty-two million, six hundred thirty-one thousand, six hundred eighty".