7131600 has 180 divisors, whose sum is σ = 28384096. Its totient is φ = 1624320.

The previous prime is 7131583. The next prime is 7131601. The reversal of 7131600 is 61317.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7131601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25059 + ... + 25341.

Almost surely, 2^7131600 is an apocalyptic number.

7131600 is a gapful number since it is divisible by the number (70) 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 7131600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14192048).

7131600 is an abundant number, since it is smaller than the sum of its proper divisors (21252496).

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

7131600 is a wasteful number, since it uses less digits than its factorization.

7131600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 7131600 is about 2670.5055701121. The cubic root of 7131600 is about 192.4844536835.

Adding to 7131600 its reverse (61317), we get a palindrome (7192917).

The spelling of 7131600 in words is "seven million, one hundred thirty-one thousand, six hundred".