5676400 has 60 divisors (see below), whose sum is σ = 14253552. Its totient is φ = 2168320.

The previous prime is 5676371. The next prime is 5676401. The reversal of 5676400 is 46765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5676401) 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, 8892 + ... + 9508.

Almost surely, 2^5676400 is an apocalyptic number.

5676400 is a gapful number since it is divisible by the number (50) 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 5676400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7126776).

5676400 is an abundant number, since it is smaller than the sum of its proper divisors (8577152).

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

5676400 is a wasteful number, since it uses less digits than its factorization.

5676400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 5676400 is about 2382.5196746302. The cubic root of 5676400 is about 178.3847252434.

The spelling of 5676400 in words is "five million, six hundred seventy-six thousand, four hundred".