8001416 has 16 divisors (see below), whose sum is σ = 15215040. Its totient is φ = 3944080.

The previous prime is 8001359. The next prime is 8001491. The reversal of 8001416 is 6141008.

It is a super-4 number, since 4×8001416⁴ (a number of 29 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6476 + ... + 7611.

It is an arithmetic number, because the mean of its divisors is an integer number (950940).

Almost surely, 2^8001416 is an apocalyptic number.

It is an amenable number.

8001416 is a deficient number, since it is larger than the sum of its proper divisors (7213624).

8001416 is a wasteful number, since it uses less digits than its factorization.

8001416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14164 (or 14160 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 8001416 is about 2828.6774294712. The cubic root of 8001416 is about 200.0117993039.

The spelling of 8001416 in words is "eight million, one thousand, four hundred sixteen".