6712400 has 60 divisors (see below), whose sum is σ = 16386972. Its totient is φ = 2641920.

The previous prime is 6712373. The next prime is 6712417. The reversal of 6712400 is 42176.

It can be written as a sum of positive squares in 6 ways, for example, as 35344 + 6677056 = 188^2 + 2584^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 38714 + ... + 38886.

Almost surely, 2^6712400 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 6712400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8193486).

6712400 is an abundant number, since it is smaller than the sum of its proper divisors (9674572).

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

6712400 is a wasteful number, since it uses less digits than its factorization.

6712400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 6712400 is about 2590.8299828433. The cubic root of 6712400 is about 188.6365925473.

Adding to 6712400 its reverse (42176), we get a palindrome (6754576).

The spelling of 6712400 in words is "six million, seven hundred twelve thousand, four hundred".