6887952 has 60 divisors (see below), whose sum is σ = 19911424. Its totient is φ = 2220480.

The previous prime is 6887929. The next prime is 6887953. The reversal of 6887952 is 2597886.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 6887898 and 6887907.

It is not an unprimeable number, because it can be changed into a prime (6887953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3693 + ... + 5235.

Almost surely, 2^6887952 is an apocalyptic number.

6887952 is a gapful number since it is divisible by the number (62) 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 6887952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9955712).

6887952 is an abundant number, since it is smaller than the sum of its proper divisors (13023472).

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

6887952 is a wasteful number, since it uses less digits than its factorization.

6887952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1579 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 6887952 is about 2624.4908077568. The cubic root of 6887952 is about 190.2669562287.

The spelling of 6887952 in words is "six million, eight hundred eighty-seven thousand, nine hundred fifty-two".