516640761 has 240 divisors, whose sum is σ = 1112348160. Its totient is φ = 235146240.

The previous prime is 516640753. The next prime is 516640763. The reversal of 516640761 is 167046615.

516640761 is a `hidden beast` number, since 5 + 1 + 6 + 640 + 7 + 6 + 1 = 666.

It is not a de Polignac number, because 516640761 - 2³ = 516640753 is a prime.

It is a hoax number, since the sum of its digits (36) 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 (516640763) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 16665816 + ... + 16665846.

It is an arithmetic number, because the mean of its divisors is an integer number (4634784).

Almost surely, 2^516640761 is an apocalyptic number.

516640761 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

516640761 is an abundant number, since it is smaller than the sum of its proper divisors (595707399).

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

516640761 is a wasteful number, since it uses less digits than its factorization.

516640761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 516640761 is about 22729.7329724746. The cubic root of 516640761 is about 802.4097968313.

The spelling of 516640761 in words is "five hundred sixteen million, six hundred forty thousand, seven hundred sixty-one".