8948800 has 168 divisors, whose sum is σ = 27212544. Its totient is φ = 2826240.

The previous prime is 8948789. The next prime is 8948803. The reversal of 8948800 is 88498.

It is a self number, because there is not a number n which added to its sum of digits gives 8948800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8948803) 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, 190377 + ... + 190423.

Almost surely, 2^8948800 is an apocalyptic number.

8948800 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 8948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13606272).

8948800 is an abundant number, since it is smaller than the sum of its proper divisors (18263744).

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

8948800 is a wasteful number, since it uses less digits than its factorization.

8948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 8948800 is about 2991.4544957261. The cubic root of 8948800 is about 207.6131864216.

The spelling of 8948800 in words is "eight million, nine hundred forty-eight thousand, eight hundred".