6987960 has 192 divisors, whose sum is σ = 26956800. Its totient is φ = 1536768.

The previous prime is 6987949. The next prime is 6987971. The reversal of 6987960 is 697896.

It is an interprime number because it is at equal distance from previous prime (6987949) and next prime (6987971).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118411 + ... + 118469.

It is an arithmetic number, because the mean of its divisors is an integer number (140400).

Almost surely, 2^6987960 is an apocalyptic number.

6987960 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 6987960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13478400).

6987960 is an abundant number, since it is smaller than the sum of its proper divisors (19968840).

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

6987960 is a wasteful number, since it uses less digits than its factorization.

6987960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 6987960 is about 2643.4749856959. The cubic root of 6987960 is about 191.1833806158.

Subtracting from 6987960 its reverse (697896), we obtain a square (6290064 = 2508²).

The spelling of 6987960 in words is "six million, nine hundred eighty-seven thousand, nine hundred sixty".