516164832 has 96 divisors (see below), whose sum is σ = 1511516160. Its totient is φ = 171365760.

The previous prime is 516164809. The next prime is 516164833. The reversal of 516164832 is 238461615.

It is a happy number.

516164832 is a `hidden beast` number, since 5 + 1 + 6 + 1 + 648 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×516164832² = 532852267587176448, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516164833) 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, 243457 + ... + 245567.

It is an arithmetic number, because the mean of its divisors is an integer number (15744960).

Almost surely, 2^516164832 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 516164832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755758080).

516164832 is an abundant number, since it is smaller than the sum of its proper divisors (995351328).

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

516164832 is a wasteful number, since it uses less digits than its factorization.

516164832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2413 (or 2399 counting only the distinct ones).

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

The square root of 516164832 is about 22719.2612555954. The cubic root of 516164832 is about 802.1633280748.

The spelling of 516164832 in words is "five hundred sixteen million, one hundred sixty-four thousand, eight hundred thirty-two".