8406000 has 120 divisors (see below), whose sum is σ = 29422224. Its totient is φ = 2236800.

The previous prime is 8405977. The next prime is 8406001. The reversal of 8406000 is 6048.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8406001) 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, 17767 + ... + 18233.

Almost surely, 2^8406000 is an apocalyptic number.

8406000 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 8406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14711112).

8406000 is an abundant number, since it is smaller than the sum of its proper divisors (21016224).

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

8406000 is a wasteful number, since it uses less digits than its factorization.

8406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 8406000 is about 2899.3102628039. The cubic root of 8406000 is about 203.3276596703.

The spelling of 8406000 in words is "eight million, four hundred six thousand".