508616064 has 256 divisors, whose sum is σ = 1736121600. Its totient is φ = 144875520.

The previous prime is 508616057. The next prime is 508616071. The reversal of 508616064 is 460616805.

It is an interprime number because it is at equal distance from previous prime (508616057) and next prime (508616071).

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

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 31 ways as a sum of consecutive naturals, for example, 645879 + ... + 646665.

It is an arithmetic number, because the mean of its divisors is an integer number (6781725).

Almost surely, 2^508616064 is an apocalyptic number.

508616064 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 508616064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868060800).

508616064 is an abundant number, since it is smaller than the sum of its proper divisors (1227505536).

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

508616064 is a wasteful number, since it uses less digits than its factorization.

508616064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 820 counting only the distinct ones).

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

The square root of 508616064 is about 22552.5179082071. The cubic root of 508616064 is about 798.2336361522.

The spelling of 508616064 in words is "five hundred eight million, six hundred sixteen thousand, sixty-four".