625684608 has 128 divisors (see below), whose sum is σ = 1858032000. Its totient is φ = 207277056.

The previous prime is 625684603. The next prime is 625684621. The reversal of 625684608 is 806486526.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×625684608³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (625684603) 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, 680373 + ... + 681291.

It is an arithmetic number, because the mean of its divisors is an integer number (14515875).

Almost surely, 2^625684608 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 625684608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929016000).

625684608 is an abundant number, since it is smaller than the sum of its proper divisors (1232347392).

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

625684608 is a wasteful number, since it uses less digits than its factorization.

625684608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 625684608 is about 25013.6884125472. The cubic root of 625684608 is about 855.3000362811.

It can be divided in two parts, 62568 and 4608, that added together give a palindrome (67176).

The spelling of 625684608 in words is "six hundred twenty-five million, six hundred eighty-four thousand, six hundred eight".