6987600 has 120 divisors (see below), whose sum is σ = 24909120. Its totient is φ = 1860480.

The previous prime is 6987593. The next prime is 6987601. The reversal of 6987600 is 67896.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6987601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10477 + ... + 11123.

It is an arithmetic number, because the mean of its divisors is an integer number (207576).

Almost surely, 2^6987600 is an apocalyptic number.

6987600 is a gapful number since it is divisible by the number (60) 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 6987600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12454560).

6987600 is an abundant number, since it is smaller than the sum of its proper divisors (17921520).

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

6987600 is a wasteful number, since it uses less digits than its factorization.

6987600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 6987600 is about 2643.4068926293. The cubic root of 6987600 is about 191.1800974831.

The spelling of 6987600 in words is "six million, nine hundred eighty-seven thousand, six hundred".