8180406 has 64 divisors (see below), whose sum is σ = 20106240. Its totient is φ = 2449440.

The previous prime is 8180369. The next prime is 8180413. The reversal of 8180406 is 6040818.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 8180406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30051 + ... + 30321.

It is an arithmetic number, because the mean of its divisors is an integer number (314160).

Almost surely, 2^8180406 is an apocalyptic number.

8180406 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 8180406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10053120).

8180406 is an abundant number, since it is smaller than the sum of its proper divisors (11925834).

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

8180406 is a wasteful number, since it uses less digits than its factorization.

8180406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8180406 is about 2860.1409056199. The cubic root of 8180406 is about 201.4922220109.

The spelling of 8180406 in words is "eight million, one hundred eighty thousand, four hundred six".