8412000 has 96 divisors (see below), whose sum is σ = 27597024. Its totient is φ = 2240000.

The previous prime is 8411993. The next prime is 8412017. The reversal of 8412000 is 2148.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 11650 + ... + 12350.

It is an arithmetic number, because the mean of its divisors is an integer number (287469).

Almost surely, 2^8412000 is an apocalyptic number.

8412000 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 8412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13798512).

8412000 is an abundant number, since it is smaller than the sum of its proper divisors (19185024).

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

8412000 is a wasteful number, since it uses less digits than its factorization.

8412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 8412000 is about 2900.3448070876. The cubic root of 8412000 is about 203.3760249575.

Adding to 8412000 its reverse (2148), we get a palindrome (8414148).

The spelling of 8412000 in words is "eight million, four hundred twelve thousand".