8405376 has 128 divisors (see below), whose sum is σ = 26438400. Its totient is φ = 2316288.

The previous prime is 8405347. The next prime is 8405377. The reversal of 8405376 is 6735048.

8405376 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8405377) 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, 142435 + ... + 142493.

It is an arithmetic number, because the mean of its divisors is an integer number (206550).

Almost surely, 2^8405376 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 8405376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13219200).

8405376 is an abundant number, since it is smaller than the sum of its proper divisors (18033024).

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

8405376 is a wasteful number, since it uses less digits than its factorization.

8405376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 8405376 is about 2899.2026490054. The cubic root of 8405376 is about 203.3226283594.

It can be divided in two parts, 840 and 5376, that added together give a triangular number (6216 = T₁₁₁).

The spelling of 8405376 in words is "eight million, four hundred five thousand, three hundred seventy-six".