516672000 has 640 divisors, whose sum is σ = 2144862720. Its totient is φ = 121651200.

The previous prime is 516671989. The next prime is 516672011. The reversal of 516672000 is 276615.

It is an interprime number because it is at equal distance from previous prime (516671989) and next prime (516672011).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 22463989 + ... + 22464011.

It is an arithmetic number, because the mean of its divisors is an integer number (3351348).

Almost surely, 2^516672000 is an apocalyptic number.

516672000 is a gapful number since it is divisible by the number (50) 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 516672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072431360).

516672000 is an abundant number, since it is smaller than the sum of its proper divisors (1628190720).

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

516672000 is a wasteful number, since it uses less digits than its factorization.

516672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 516672000 is about 22730.4201456990. The cubic root of 516672000 is about 802.4259692386.

The spelling of 516672000 in words is "five hundred sixteen million, six hundred seventy-two thousand".