7916544 has 66 divisors (see below), whose sum is σ = 22885460. Its totient is φ = 2635776.

The previous prime is 7916533. The next prime is 7916549. The reversal of 7916544 is 4456197.

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

Its product of digits (30240) is a multiple of the sum of its prime divisors (864).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 7916499 and 7916508.

It is not an unprimeable number, because it can be changed into a prime (7916549) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8787 + ... + 9645.

Almost surely, 2^7916544 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 7916544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11442730).

7916544 is an abundant number, since it is smaller than the sum of its proper divisors (14968916).

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

7916544 is a wasteful number, since it uses less digits than its factorization.

7916544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 864 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 7916544 is about 2813.6353708325. The cubic root of 7916544 is about 199.3021008499.

The spelling of 7916544 in words is "seven million, nine hundred sixteen thousand, five hundred forty-four".