284029680 has 160 divisors (see below), whose sum is σ = 966509568. Its totient is φ = 68428800.

The previous prime is 284029679. The next prime is 284029687. The reversal of 284029680 is 86920482.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284029687) 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, 715242 + ... + 715638.

Almost surely, 2^284029680 is an apocalyptic number.

284029680 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 284029680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483254784).

284029680 is an abundant number, since it is smaller than the sum of its proper divisors (682479888).

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

284029680 is a wasteful number, since it uses less digits than its factorization.

284029680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 284029680 is about 16853.1801153373. The cubic root of 284029680 is about 657.3367423219.

The spelling of 284029680 in words is "two hundred eighty-four million, twenty-nine thousand, six hundred eighty".