515883648 has 256 divisors, whose sum is σ = 1666990080. Its totient is φ = 138240000.

The previous prime is 515883647. The next prime is 515883653. The reversal of 515883648 is 846388515.

It is a super-2 number, since 2×515883648² = 532271876547575808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 515883597 and 515883606.

It is not an unprimeable number, because it can be changed into a prime (515883647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3416373 + ... + 3416523.

It is an arithmetic number, because the mean of its divisors is an integer number (6511680).

Almost surely, 2^515883648 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 515883648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833495040).

515883648 is an abundant number, since it is smaller than the sum of its proper divisors (1151106432).

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

515883648 is a wasteful number, since it uses less digits than its factorization.

515883648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 235 counting only the distinct ones).

The product of its digits is 921600, while the sum is 48.

The square root of 515883648 is about 22713.0721832164. The cubic root of 515883648 is about 802.0176404641.

The spelling of 515883648 in words is "five hundred fifteen million, eight hundred eighty-three thousand, six hundred forty-eight".