6445600 has 72 divisors (see below), whose sum is σ = 17998848. Its totient is φ = 2208000.

The previous prime is 6445597. The next prime is 6445619. The reversal of 6445600 is 65446.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 5025 + ... + 6175.

It is an arithmetic number, because the mean of its divisors is an integer number (249984).

Almost surely, 2^6445600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6445600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8999424).

6445600 is an abundant number, since it is smaller than the sum of its proper divisors (11553248).

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

6445600 is a wasteful number, since it uses less digits than its factorization.

6445600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 6445600 is about 2538.8186229032. The cubic root of 6445600 is about 186.1034611510.

The spelling of 6445600 in words is "six million, four hundred forty-five thousand, six hundred".