623948000 has 192 divisors, whose sum is σ = 1684126080. Its totient is φ = 227136000.

The previous prime is 623947993. The next prime is 623948027. The reversal of 623948000 is 849326.

It is a super-2 number, since 2×623948000² = 778622213408000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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, 8787965 + ... + 8788035.

It is an arithmetic number, because the mean of its divisors is an integer number (8771490).

Almost surely, 2^623948000 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 623948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842063040).

623948000 is an abundant number, since it is smaller than the sum of its proper divisors (1060178080).

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

623948000 is an equidigital number, since it uses as much as digits as its factorization.

623948000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 623948000 is about 24978.9511389089. The cubic root of 623948000 is about 854.5079986875.

The spelling of 623948000 in words is "six hundred twenty-three million, nine hundred forty-eight thousand".