16284320 has 48 divisors (see below), whose sum is σ = 41436360. Its totient is φ = 6011904.

The previous prime is 16284319. The next prime is 16284353. The reversal of 16284320 is 2348261.

16284320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6822544 + 9461776 = 2612^2 + 3076^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 16284320.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1835 + ... + 5994.

Almost surely, 2^16284320 is an apocalyptic number.

16284320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16284320 is an abundant number, since it is smaller than the sum of its proper divisors (25152040).

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

16284320 is a wasteful number, since it uses less digits than its factorization.

16284320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7857 (or 7849 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 16284320 is about 4035.3835009823. The cubic root of 16284320 is about 253.4680416227.

The spelling of 16284320 in words is "sixteen million, two hundred eighty-four thousand, three hundred twenty".