516638540 has 108 divisors (see below), whose sum is σ = 1231958784. Its totient is φ = 181843200.

The previous prime is 516638539. The next prime is 516638543. The reversal of 516638540 is 45836615.

It is a junction number, because it is equal to n+sod(n) for n = 516638494 and 516638503.

It is not an unprimeable number, because it can be changed into a prime (516638543) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4067957 + ... + 4068083.

Almost surely, 2^516638540 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 516638540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615979392).

516638540 is an abundant number, since it is smaller than the sum of its proper divisors (715320244).

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

516638540 is a wasteful number, since it uses less digits than its factorization.

516638540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 516638540 is about 22729.6841157109. The cubic root of 516638540 is about 802.4086469965.

The spelling of 516638540 in words is "five hundred sixteen million, six hundred thirty-eight thousand, five hundred forty".