515960676 has 144 divisors (see below), whose sum is σ = 1721865600. Its totient is φ = 126120960.

The previous prime is 515960657. The next prime is 515960677. The reversal of 515960676 is 676069515.

515960676 is a `hidden beast` number, since 51 + 596 + 0 + 6 + 7 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (515960677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41650 + ... + 52598.

It is an arithmetic number, because the mean of its divisors is an integer number (11957400).

Almost surely, 2^515960676 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 515960676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860932800).

515960676 is an abundant number, since it is smaller than the sum of its proper divisors (1205904924).

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

515960676 is a wasteful number, since it uses less digits than its factorization.

515960676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10994 (or 10989 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 515960676 is about 22714.7677954233. The cubic root of 515960676 is about 802.0575556275.

It can be divided in two parts, 515960 and 676, that added together give a triangular number (516636 = T₁₀₁₆).

The spelling of 515960676 in words is "five hundred fifteen million, nine hundred sixty thousand, six hundred seventy-six".