625265984 has 224 divisors, whose sum is σ = 1645920000. Its totient is φ = 229146624.

The previous prime is 625265981. The next prime is 625265999. The reversal of 625265984 is 489562526.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×625265984³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (625265981) 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 31 ways as a sum of consecutive naturals, for example, 4196342 + ... + 4196490.

Almost surely, 2^625265984 is an apocalyptic number.

625265984 is a gapful number since it is divisible by the number (64) 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 625265984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822960000).

625265984 is an abundant number, since it is smaller than the sum of its proper divisors (1020654016).

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

625265984 is a wasteful number, since it uses less digits than its factorization.

625265984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 223 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 47.

The square root of 625265984 is about 25005.3191141405. The cubic root of 625265984 is about 855.1092431348.

The spelling of 625265984 in words is "six hundred twenty-five million, two hundred sixty-five thousand, nine hundred eighty-four".