5676000 has 192 divisors, whose sum is σ = 20756736. Its totient is φ = 1344000.

The previous prime is 5675993. The next prime is 5676001. The reversal of 5676000 is 6765.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5676001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131979 + ... + 132021.

It is an arithmetic number, because the mean of its divisors is an integer number (108108).

Almost surely, 2^5676000 is an apocalyptic number.

5676000 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 5676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10378368).

5676000 is an abundant number, since it is smaller than the sum of its proper divisors (15080736).

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

5676000 is a wasteful number, since it uses less digits than its factorization.

5676000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 5676000 is about 2382.4357284091. The cubic root of 5676000 is about 178.3805350545.

The spelling of 5676000 in words is "five million, six hundred seventy-six thousand".