514008 has 72 divisors (see below), whose sum is σ = 1556100. Its totient is φ = 153120.

The previous prime is 514001. The next prime is 514009. The reversal of 514008 is 800415.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514001) by changing a digit.

514008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8683 + ... + 8741.

2⁵¹⁴⁰⁰⁸ 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 514008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778050).

514008 is an abundant number, since it is smaller than the sum of its proper divisors (1042092).

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

514008 is a wasteful number, since it uses less digits than its factorization.

514008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 75 counting only the distinct ones).

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

The square root of 514008 is about 716.9435124192. The cubic root of 514008 is about 80.1044469095.

The spelling of 514008 in words is "five hundred fourteen thousand, eight".