8100414 has 48 divisors (see below), whose sum is σ = 20453472. Its totient is φ = 2268864.

The previous prime is 8100413. The next prime is 8100419. The reversal of 8100414 is 4140018.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8100413) 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, 6072 + ... + 7284.

It is an arithmetic number, because the mean of its divisors is an integer number (426114).

Almost surely, 2^8100414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8100414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10226736).

8100414 is an abundant number, since it is smaller than the sum of its proper divisors (12353058).

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

8100414 is a wasteful number, since it uses less digits than its factorization.

8100414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 8100414 is about 2846.1226256084. The cubic root of 8100414 is about 200.8333065125.

It can be divided in two parts, 81004 and 14, that added together give a palindrome (81018).

The spelling of 8100414 in words is "eight million, one hundred thousand, four hundred fourteen".