623434968 has 128 divisors (see below), whose sum is σ = 1888689600. Its totient is φ = 191756160.

The previous prime is 623434967. The next prime is 623434993. The reversal of 623434968 is 869434326.

It is a super-2 number, since 2×623434968² = 777342318650322048, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (623434967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226078 + ... + 228818.

Almost surely, 2^623434968 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 623434968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944344800).

623434968 is an abundant number, since it is smaller than the sum of its proper divisors (1265254632).

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

623434968 is a wasteful number, since it uses less digits than its factorization.

623434968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2781 (or 2759 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 623434968 is about 24968.6797408273. The cubic root of 623434968 is about 854.2737322873.

The spelling of 623434968 in words is "six hundred twenty-three million, four hundred thirty-four thousand, nine hundred sixty-eight".