6987456 has 84 divisors (see below), whose sum is σ = 22902672. Its totient is φ = 1995264.

The previous prime is 6987451. The next prime is 6987473. The reversal of 6987456 is 6547896.

It is a tau number, because it is divible by the number of its divisors (84).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (6987451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3166 + ... + 4898.

Almost surely, 2^6987456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6987456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11451336).

6987456 is an abundant number, since it is smaller than the sum of its proper divisors (15915216).

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

6987456 is a wasteful number, since it uses less digits than its factorization.

6987456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 1745 counting only the distinct ones).

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

The square root of 6987456 is about 2643.3796549115. The cubic root of 6987456 is about 191.1787841985.

The spelling of 6987456 in words is "six million, nine hundred eighty-seven thousand, four hundred fifty-six".