284116680 has 64 divisors (see below), whose sum is σ = 947059200. Its totient is φ = 75764160.

The previous prime is 284116663. The next prime is 284116681. The reversal of 284116680 is 86611482.

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

It is not an unprimeable number, because it can be changed into a prime (284116681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130456 + ... + 132615.

It is an arithmetic number, because the mean of its divisors is an integer number (14797800).

Almost surely, 2^284116680 is an apocalyptic number.

284116680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

284116680 is an abundant number, since it is smaller than the sum of its proper divisors (662942520).

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

284116680 is a wasteful number, since it uses less digits than its factorization.

284116680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263091 (or 263081 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 284116680 is about 16855.7610329525. The cubic root of 284116680 is about 657.4038508702.

It can be divided in two parts, 284 and 116680, that added together give a square (116964 = 342²).

The spelling of 284116680 in words is "two hundred eighty-four million, one hundred sixteen thousand, six hundred eighty".