516587940 has 144 divisors (see below), whose sum is σ = 1722651840. Its totient is φ = 124266240.

The previous prime is 516587927. The next prime is 516587971. The reversal of 516587940 is 49785615.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 274282 + ... + 276158.

It is an arithmetic number, because the mean of its divisors is an integer number (11962860).

Almost surely, 2^516587940 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 516587940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861325920).

516587940 is an abundant number, since it is smaller than the sum of its proper divisors (1206063900).

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

516587940 is a wasteful number, since it uses less digits than its factorization.

516587940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 516587940 is about 22728.5710065547. The cubic root of 516587940 is about 802.3824499554.

The spelling of 516587940 in words is "five hundred sixteen million, five hundred eighty-seven thousand, nine hundred forty".