8638416 has 60 divisors (see below), whose sum is σ = 24373440. Its totient is φ = 2856000.

The previous prime is 8638411. The next prime is 8638447. The reversal of 8638416 is 6148368.

It is a happy number.

8638416 is a `hidden beast` number, since 8 + 638 + 4 + 16 = 666.

8638416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8638411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34291 + ... + 34541.

It is an arithmetic number, because the mean of its divisors is an integer number (406224).

Almost surely, 2^8638416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8638416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12186720).

8638416 is an abundant number, since it is smaller than the sum of its proper divisors (15735024).

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

8638416 is a wasteful number, since it uses less digits than its factorization.

8638416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 495 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 8638416 is about 2939.1182351175. The cubic root of 8638416 is about 205.1845730112.

The spelling of 8638416 in words is "eight million, six hundred thirty-eight thousand, four hundred sixteen".