8405940 has 48 divisors (see below), whose sum is σ = 24353280. Its totient is φ = 2163840.

The previous prime is 8405921. The next prime is 8405951. The reversal of 8405940 is 495048.

It is a Harshad number since it is a multiple of its sum of digits (30).

8405940 is a modest number, since divided by 5940 gives 840 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 8405898 and 8405907.

It is a congruent number.

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, 676 + ... + 4155.

It is an arithmetic number, because the mean of its divisors is an integer number (507360).

Almost surely, 2^8405940 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 8405940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12176640).

8405940 is an abundant number, since it is smaller than the sum of its proper divisors (15947340).

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

8405940 is a wasteful number, since it uses less digits than its factorization.

8405940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4872 (or 4870 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 8405940 is about 2899.2999154968. The cubic root of 8405940 is about 203.3271759012.

The spelling of 8405940 in words is "eight million, four hundred five thousand, nine hundred forty".