8401000 has 64 divisors (see below), whose sum is σ = 20367360. Its totient is φ = 3240000.

The previous prime is 8400979. The next prime is 8401013. The reversal of 8401000 is 1048.

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, 30865 + ... + 31135.

It is an arithmetic number, because the mean of its divisors is an integer number (318240).

Almost surely, 2^8401000 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 8401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10183680).

8401000 is an abundant number, since it is smaller than the sum of its proper divisors (11966360).

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

8401000 is a wasteful number, since it uses less digits than its factorization.

8401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 8401000 is about 2898.4478604936. The cubic root of 8401000 is about 203.2873376806.

Adding to 8401000 its reverse (1048), we get a palindrome (8402048).

The spelling of 8401000 in words is "eight million, four hundred one thousand".