16304640 has 160 divisors (see below), whose sum is σ = 57157056. Its totient is φ = 3932160.

The previous prime is 16304599. The next prime is 16304647. The reversal of 16304640 is 4640361.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×16304640³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 16304640.

It is not an unprimeable number, because it can be changed into a prime (16304647) 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, 84384 + ... + 84576.

Almost surely, 2^16304640 is an apocalyptic number.

16304640 is a gapful number since it is divisible by the number (10) 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 16304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28578528).

16304640 is an abundant number, since it is smaller than the sum of its proper divisors (40852416).

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

16304640 is a wasteful number, since it uses less digits than its factorization.

16304640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 16304640 is about 4037.9004445380. The cubic root of 16304640 is about 253.5734258163.

The spelling of 16304640 in words is "sixteen million, three hundred four thousand, six hundred forty".