6461600 has 72 divisors (see below), whose sum is σ = 16241148. Its totient is φ = 2508800.

The previous prime is 6461573. The next prime is 6461617. The reversal of 6461600 is 61646.

It can be written as a sum of positive squares in 6 ways, for example, as 2572816 + 3888784 = 1604^2 + 1972^2 .

It is a congruent number.

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, 32702 + ... + 32898.

Almost surely, 2^6461600 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 6461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8120574).

6461600 is an abundant number, since it is smaller than the sum of its proper divisors (9779548).

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

6461600 is a wasteful number, since it uses less digits than its factorization.

6461600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 6461600 is about 2541.9677417308. The cubic root of 6461600 is about 186.2573229558.

The spelling of 6461600 in words is "six million, four hundred sixty-one thousand, six hundred".