8400216 has 64 divisors (see below), whose sum is σ = 23431680. Its totient is φ = 2487680.

The previous prime is 8400211. The next prime is 8400229. The reversal of 8400216 is 6120048.

It is a junction number, because it is equal to n+sod(n) for n = 8400192 and 8400201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8400211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12070 + ... + 12746.

It is an arithmetic number, because the mean of its divisors is an integer number (366120).

Almost surely, 2^8400216 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 8400216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11715840).

8400216 is an abundant number, since it is smaller than the sum of its proper divisors (15031464).

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

8400216 is a wasteful number, since it uses less digits than its factorization.

8400216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 740 counting only the distinct ones).

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

The square root of 8400216 is about 2898.3126125385. The cubic root of 8400216 is about 203.2810137418.

The spelling of 8400216 in words is "eight million, four hundred thousand, two hundred sixteen".