16404768 has 60 divisors (see below), whose sum is σ = 48253590. Its totient is φ = 5467392.

The previous prime is 16404761. The next prime is 16404769. The reversal of 16404768 is 86740461.

16404768 is a `hidden beast` number, since 1 + 640 + 4 + 7 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12194064 + 4210704 = 3492^2 + 2052^2 .

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 (16404761) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 573 + ... + 5756.

Almost surely, 2^16404768 is an apocalyptic number.

16404768 is a gapful number since it is divisible by the number (18) 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 16404768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24126795).

16404768 is an abundant number, since it is smaller than the sum of its proper divisors (31848822).

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

16404768 is an equidigital number, since it uses as much as digits as its factorization.

16404768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6351 (or 6334 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 16404768 is about 4050.2799903217. The cubic root of 16404768 is about 254.0914379287.

The spelling of 16404768 in words is "sixteen million, four hundred four thousand, seven hundred sixty-eight".