6955560 has 72 divisors (see below), whose sum is σ = 22769370. Its totient is φ = 1841472.

The previous prime is 6955549. The next prime is 6955573. The reversal of 6955560 is 655596.

6955560 is a `hidden beast` number, since 6 + 95 + 5 + 560 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6260004 + 695556 = 2502^2 + 834^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 49971 + ... + 50109.

Almost surely, 2^6955560 is an apocalyptic number.

6955560 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 6955560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11384685).

6955560 is an abundant number, since it is smaller than the sum of its proper divisors (15813810).

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

6955560 is a wasteful number, since it uses less digits than its factorization.

6955560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 6955560 is about 2637.3395685804. The cubic root of 6955560 is about 190.8874459072.

Adding to 6955560 its sum of digits (36), we get a palindrome (6955596).

The spelling of 6955560 in words is "six million, nine hundred fifty-five thousand, five hundred sixty".