8216400 has 120 divisors (see below), whose sum is σ = 27123264. Its totient is φ = 2124800.

The previous prime is 8216387. The next prime is 8216407. The reversal of 8216400 is 46128.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8216407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49117 + ... + 49283.

Almost surely, 2^8216400 is an apocalyptic number.

8216400 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 8216400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13561632).

8216400 is an abundant number, since it is smaller than the sum of its proper divisors (18906864).

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

8216400 is a wasteful number, since it uses less digits than its factorization.

8216400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 8216400 is about 2866.4263465158. The cubic root of 8216400 is about 201.7873133094.

The spelling of 8216400 in words is "eight million, two hundred sixteen thousand, four hundred".