8215200 has 216 divisors, whose sum is σ = 33310368. Its totient is φ = 1866240.

The previous prime is 8215187. The next prime is 8215237. The reversal of 8215200 is 25128.

8215200 = T₁₅₁ + T₁₅₂ + ... + T₃₇₄.

It is a super-2 number, since 2×8215200² = 134979022080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50319 + ... + 50481.

Almost surely, 2^8215200 is an apocalyptic number.

8215200 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 8215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16655184).

8215200 is an abundant number, since it is smaller than the sum of its proper divisors (25095168).

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

8215200 is a wasteful number, since it uses less digits than its factorization.

8215200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 8215200 is about 2866.2170189991. The cubic root of 8215200 is about 201.7774891948. Note that the first 3 decimals are identical.

The spelling of 8215200 in words is "eight million, two hundred fifteen thousand, two hundred".