8001414 has 12 divisors (see below), whose sum is σ = 17336436. Its totient is φ = 2667132.

The previous prime is 8001359. The next prime is 8001491. The reversal of 8001414 is 4141008.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 444523 = 8001414 / (8 + 0 + 0 + 1 + 4 + 1 + 4).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 222244 + ... + 222279.

It is an arithmetic number, because the mean of its divisors is an integer number (1444703).

Almost surely, 2^8001414 is an apocalyptic number.

8001414 is an abundant number, since it is smaller than the sum of its proper divisors (9335022).

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

8001414 is a wasteful number, since it uses less digits than its factorization.

8001414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444531 (or 444528 counting only the distinct ones).

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

The square root of 8001414 is about 2828.6770759491. The cubic root of 8001414 is about 200.0117826392.

The spelling of 8001414 in words is "eight million, one thousand, four hundred fourteen".