8133216 has 192 divisors, whose sum is σ = 28224000. Its totient is φ = 2032128.

The previous prime is 8133199. The next prime is 8133233. The reversal of 8133216 is 6123318.

It is an interprime number because it is at equal distance from previous prime (8133199) and next prime (8133233).

It is a super-2 number, since 2×8133216² = 132298405005312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 428055 + ... + 428073.

It is an arithmetic number, because the mean of its divisors is an integer number (147000).

Almost surely, 2^8133216 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 8133216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14112000).

8133216 is an abundant number, since it is smaller than the sum of its proper divisors (20090784).

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

8133216 is a wasteful number, since it uses less digits than its factorization.

8133216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 44 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 8133216 is about 2851.8793803385. The cubic root of 8133216 is about 201.1040277332.

The spelling of 8133216 in words is "eight million, one hundred thirty-three thousand, two hundred sixteen".