8948400 has 60 divisors (see below), whose sum is σ = 28668552. Its totient is φ = 2385920.

The previous prime is 8948393. The next prime is 8948417. The reversal of 8948400 is 48498.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2529 + ... + 4928.

Almost surely, 2^8948400 is an apocalyptic number.

8948400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8948400 is an abundant number, since it is smaller than the sum of its proper divisors (19720152).

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

8948400 is a wasteful number, since it uses less digits than its factorization.

8948400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7478 (or 7467 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 8948400 is about 2991.3876378698. The cubic root of 8948400 is about 207.6100930269.

The spelling of 8948400 in words is "eight million, nine hundred forty-eight thousand, four hundred".