508655616 has 96 divisors (see below), whose sum is σ = 1549941120. Its totient is φ = 145317888.

The previous prime is 508655611. The next prime is 508655617. The reversal of 508655616 is 616556805.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508655611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37095 + ... + 48921.

It is an arithmetic number, because the mean of its divisors is an integer number (16145220).

Almost surely, 2^508655616 is an apocalyptic number.

508655616 is a gapful number since it is divisible by the number (56) 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 508655616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774970560).

508655616 is an abundant number, since it is smaller than the sum of its proper divisors (1041285504).

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

508655616 is a wasteful number, since it uses less digits than its factorization.

508655616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11859 (or 11839 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The square root of 508655616 is about 22553.3947777269. The cubic root of 508655616 is about 798.2543268857.

The spelling of 508655616 in words is "five hundred eight million, six hundred fifty-five thousand, six hundred sixteen".