8213400 has 216 divisors, whose sum is σ = 30974580. Its totient is φ = 2021760.

The previous prime is 8213399. The next prime is 8213411. The reversal of 8213400 is 43128.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (216).

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 631794 + ... + 631806.

Almost surely, 2^8213400 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 8213400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15487290).

8213400 is an abundant number, since it is smaller than the sum of its proper divisors (22761180).

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

8213400 is a wasteful number, since it uses less digits than its factorization.

8213400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 23 counting only the distinct ones).

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

The square root of 8213400 is about 2865.9029990563. The cubic root of 8213400 is about 201.7627512290.

Adding to 8213400 its reverse (43128), we get a palindrome (8256528).

The spelling of 8213400 in words is "eight million, two hundred thirteen thousand, four hundred".