8405040 has 80 divisors (see below), whose sum is σ = 29783808. Its totient is φ = 1920768.

The previous prime is 8405029. The next prime is 8405063. The reversal of 8405040 is 405048.

8405040 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 8404998 and 8405016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 822 + ... + 4181.

Almost surely, 2^8405040 is an apocalyptic number.

8405040 is a gapful number since it is divisible by the number (80) 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 8405040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14891904).

8405040 is an abundant number, since it is smaller than the sum of its proper divisors (21378768).

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

8405040 is a wasteful number, since it uses less digits than its factorization.

8405040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5026 (or 5020 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 8405040 is about 2899.1447014594. The cubic root of 8405040 is about 203.3199190888.

The spelling of 8405040 in words is "eight million, four hundred five thousand, forty".