623613312 has 192 divisors, whose sum is σ = 2171988000. Its totient is φ = 167657472.

The previous prime is 623613271. The next prime is 623613313. The reversal of 623613312 is 213316326.

It is a happy number.

623613312 is a `hidden beast` number, since 623 + 6 + 1 + 3 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×623613312³ (a number of 27 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (623613313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134814 + ... + 139362.

Almost surely, 2^623613312 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 623613312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085994000).

623613312 is an abundant number, since it is smaller than the sum of its proper divisors (1548374688).

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

623613312 is a wasteful number, since it uses less digits than its factorization.

623613312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4593 (or 4578 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 623613312 is about 24972.2508396820. The cubic root of 623613312 is about 854.3551842840.

Adding to 623613312 its reverse (213316326), we get a palindrome (836929638).

The spelling of 623613312 in words is "six hundred twenty-three million, six hundred thirteen thousand, three hundred twelve".