8646400 has 108 divisors (see below), whose sum is σ = 24585232. Its totient is φ = 2949120.

The previous prime is 8646389. The next prime is 8646401. The reversal of 8646400 is 46468.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8646401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44704 + ... + 44896.

Almost surely, 2^8646400 is an apocalyptic number.

8646400 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 8646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12292616).

8646400 is an abundant number, since it is smaller than the sum of its proper divisors (15938832).

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

8646400 is a wasteful number, since it uses less digits than its factorization.

8646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 8646400 is about 2940.4761519183. The cubic root of 8646400 is about 205.2477670502.

The spelling of 8646400 in words is "eight million, six hundred forty-six thousand, four hundred".