8939096400 has 480 divisors, whose sum is σ = 33570851328. Its totient is φ = 2012774400.

The previous prime is 8939096389. The next prime is 8939096443. The reversal of 8939096400 is 46909398.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8939096400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9811945 + ... + 9812855.

Almost surely, 2^8939096400 is an apocalyptic number.

8939096400 is a gapful number since it is divisible by the number (80) 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 8939096400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16785425664).

8939096400 is an abundant number, since it is smaller than the sum of its proper divisors (24631754928).

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

8939096400 is a wasteful number, since it uses less digits than its factorization.

8939096400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 8939096400 is about 94546.7947632282. The cubic root of 8939096400 is about 2075.3811773727.

The spelling of 8939096400 in words is "eight billion, nine hundred thirty-nine million, ninety-six thousand, four hundred".