16413768 has 96 divisors (see below), whose sum is σ = 52603200. Its totient is φ = 4523904.

The previous prime is 16413767. The next prime is 16413769. The reversal of 16413768 is 86731461.

16413768 is a `hidden beast` number, since 1 + 641 + 3 + 7 + 6 + 8 = 666.

16413768 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16413767) and next prime (16413769).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (16413767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14055 + ... + 15177.

It is an arithmetic number, because the mean of its divisors is an integer number (547950).

Almost surely, 2^16413768 is an apocalyptic number.

16413768 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 16413768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26301600).

16413768 is an abundant number, since it is smaller than the sum of its proper divisors (36189432).

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

16413768 is a wasteful number, since it uses less digits than its factorization.

16413768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1164 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 16413768 is about 4051.3908722808. The cubic root of 16413768 is about 254.1378960656.

The spelling of 16413768 in words is "sixteen million, four hundred thirteen thousand, seven hundred sixty-eight".