5271600 has 120 divisors (see below), whose sum is σ = 17713152. Its totient is φ = 1337600.

The previous prime is 5271599. The next prime is 5271613. The reversal of 5271600 is 61725.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27505 + ... + 27695.

Almost surely, 2^5271600 is an apocalyptic number.

5271600 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 5271600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8856576).

5271600 is an abundant number, since it is smaller than the sum of its proper divisors (12441552).

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

5271600 is a wasteful number, since it uses less digits than its factorization.

5271600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 5271600 is about 2295.9965156768. The cubic root of 5271600 is about 174.0393622139.

The spelling of 5271600 in words is "five million, two hundred seventy-one thousand, six hundred".