6895746 has 128 divisors (see below), whose sum is σ = 19353600. Its totient is φ = 1788480.

The previous prime is 6895739. The next prime is 6895753. The reversal of 6895746 is 6475986.

It is an interprime number because it is at equal distance from previous prime (6895739) and next prime (6895753).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146695 + ... + 146741.

It is an arithmetic number, because the mean of its divisors is an integer number (151200).

Almost surely, 2^6895746 is an apocalyptic number.

6895746 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

6895746 is the 1404-th nonagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6895746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9676800).

6895746 is an abundant number, since it is smaller than the sum of its proper divisors (12457854).

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

6895746 is a wasteful number, since it uses less digits than its factorization.

6895746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 95 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 6895746 is about 2625.9752474081. The cubic root of 6895746 is about 190.3386941305.

The spelling of 6895746 in words is "six million, eight hundred ninety-five thousand, seven hundred forty-six".