6775560 has 192 divisors, whose sum is σ = 25272000. Its totient is φ = 1559040.

The previous prime is 6775541. The next prime is 6775579. The reversal of 6775560 is 655776.

It is an interprime number because it is at equal distance from previous prime (6775541) and next prime (6775579).

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

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, 114811 + ... + 114869.

It is an arithmetic number, because the mean of its divisors is an integer number (131625).

Almost surely, 2^6775560 is an apocalyptic number.

6775560 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 6775560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12636000).

6775560 is an abundant number, since it is smaller than the sum of its proper divisors (18496440).

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

6775560 is a wasteful number, since it uses less digits than its factorization.

6775560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 6775560 is about 2602.9905877663. The cubic root of 6775560 is about 189.2264020713.

The spelling of 6775560 in words is "six million, seven hundred seventy-five thousand, five hundred sixty".