623515648 has 192 divisors, whose sum is σ = 1559900160. Its totient is φ = 243302400.

The previous prime is 623515639. The next prime is 623515649. The reversal of 623515648 is 846515326.

It is a super-3 number, since 3×623515648³ (a number of 27 digits) contains 333 as substring.

Its product of digits (172800) is a multiple of the sum of its prime factors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 623515648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (623515649) 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, 10221538 + ... + 10221598.

It is an arithmetic number, because the mean of its divisors is an integer number (8124480).

Almost surely, 2^623515648 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 623515648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779950080).

623515648 is an abundant number, since it is smaller than the sum of its proper divisors (936384512).

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

623515648 is a wasteful number, since it uses less digits than its factorization.

623515648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 124 counting only the distinct ones).

The product of its digits is 172800, while the sum is 40.

The square root of 623515648 is about 24970.2953126310. The cubic root of 623515648 is about 854.3105818040.

The spelling of 623515648 in words is "six hundred twenty-three million, five hundred fifteen thousand, six hundred forty-eight".