8354000 has 40 divisors (see below), whose sum is σ = 20204808. Its totient is φ = 3340800.

The previous prime is 8353999. The next prime is 8354023. The reversal of 8354000 is 4538.

It can be written as a sum of positive squares in 4 ways, for example, as 13456 + 8340544 = 116^2 + 2888^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89 + ... + 4088.

Almost surely, 2^8354000 is an apocalyptic number.

8354000 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 8354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10102404).

8354000 is an abundant number, since it is smaller than the sum of its proper divisors (11850808).

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

8354000 is a wasteful number, since it uses less digits than its factorization.

8354000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4200 (or 4184 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 8354000 is about 2890.3287010304. The cubic root of 8354000 is about 202.9075266166.

Adding to 8354000 its reverse (4538), we get a palindrome (8358538).

The spelling of 8354000 in words is "eight million, three hundred fifty-four thousand".