7981344 has 144 divisors (see below), whose sum is σ = 26889408. Its totient is φ = 2198016.

The previous prime is 7981339. The next prime is 7981397. The reversal of 7981344 is 4431897.

7981344 = T₁₄₇ + T₁₄₈ + ... + T₃₇₀.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 7981299 and 7981308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74539 + ... + 74645.

It is an arithmetic number, because the mean of its divisors is an integer number (186732).

Almost surely, 2^7981344 is an apocalyptic number.

7981344 is a gapful number since it is divisible by the number (74) 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 7981344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13444704).

7981344 is an abundant number, since it is smaller than the sum of its proper divisors (18908064).

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

7981344 is a wasteful number, since it uses less digits than its factorization.

7981344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 156 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 7981344 is about 2825.1272537711. The cubic root of 7981344 is about 199.8444123271.

The spelling of 7981344 in words is "seven million, nine hundred eighty-one thousand, three hundred forty-four".