514327968 has 288 divisors, whose sum is σ = 1893265920. Its totient is φ = 133436160.

The previous prime is 514327951. The next prime is 514327969. The reversal of 514327968 is 869723415.

514327968 is a `hidden beast` number, since 514 + 3 + 2 + 79 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (514327969) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 598323 + ... + 599181.

It is an arithmetic number, because the mean of its divisors is an integer number (6573840).

Almost surely, 2^514327968 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 514327968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946632960).

514327968 is an abundant number, since it is smaller than the sum of its proper divisors (1378937952).

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

514327968 is a wasteful number, since it uses less digits than its factorization.

514327968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 882 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 514327968 is about 22678.7999682523. The cubic root of 514327968 is about 801.2106503164.

The spelling of 514327968 in words is "five hundred fourteen million, three hundred twenty-seven thousand, nine hundred sixty-eight".