519997968 has 300 divisors, whose sum is σ = 1817764608. Its totient is φ = 140434560.

The previous prime is 519997949. The next prime is 519997979. The reversal of 519997968 is 869799915.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (11022480) is a multiple of the sum of its prime factors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12092955 + ... + 12092997.

Almost surely, 2^519997968 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 519997968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908882304).

519997968 is an abundant number, since it is smaller than the sum of its proper divisors (1297766640).

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

519997968 is a wasteful number, since it uses less digits than its factorization.

519997968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 86 counting only the distinct ones).

The product of its digits is 11022480, while the sum is 63.

The square root of 519997968 is about 22803.4639473919. The cubic root of 519997968 is about 804.1441042658.

The spelling of 519997968 in words is "five hundred nineteen million, nine hundred ninety-seven thousand, nine hundred sixty-eight".