6650400 has 144 divisors (see below), whose sum is σ = 23061024. Its totient is φ = 1658880.

The previous prime is 6650393. The next prime is 6650431. The reversal of 6650400 is 40566.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40719 + ... + 40881.

It is an arithmetic number, because the mean of its divisors is an integer number (160146).

Almost surely, 2^6650400 is an apocalyptic number.

6650400 is a gapful number since it is divisible by the number (60) 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 6650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11530512).

6650400 is an abundant number, since it is smaller than the sum of its proper divisors (16410624).

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

6650400 is a wasteful number, since it uses less digits than its factorization.

6650400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 6650400 is about 2578.8369471527. The cubic root of 6650400 is about 188.0540059120.

Adding to 6650400 its reverse (40566), we get a palindrome (6690966).

The spelling of 6650400 in words is "six million, six hundred fifty thousand, four hundred".