516132864 has 208 divisors, whose sum is σ = 1651305600. Its totient is φ = 158367744.

The previous prime is 516132863. The next prime is 516132889. The reversal of 516132864 is 468231615.

It is a happy number.

516132864 is a `hidden beast` number, since 516 + 132 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (208).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (516132863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1437517 + ... + 1437875.

Almost surely, 2^516132864 is an apocalyptic number.

516132864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516132864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825652800).

516132864 is an abundant number, since it is smaller than the sum of its proper divisors (1135172736).

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

516132864 is a wasteful number, since it uses less digits than its factorization.

516132864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 377 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 516132864 is about 22718.5577006992. The cubic root of 516132864 is about 802.1467674175.

It can be divided in two parts, 5161 and 32864, that added together give a square (38025 = 195²).

The spelling of 516132864 in words is "five hundred sixteen million, one hundred thirty-two thousand, eight hundred sixty-four".