7914384 has 120 divisors (see below), whose sum is σ = 24286392. Its totient is φ = 2396160.

The previous prime is 7914383. The next prime is 7914391. The reversal of 7914384 is 4834197.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 944784 + 6969600 = 972^2 + 2640^2 .

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

It is not an unprimeable number, because it can be changed into a prime (7914383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129714 + ... + 129774.

Almost surely, 2^7914384 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 7914384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12143196).

7914384 is an abundant number, since it is smaller than the sum of its proper divisors (16372008).

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

7914384 is a wasteful number, since it uses less digits than its factorization.

7914384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 136 counting only the distinct ones).

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

The square root of 7914384 is about 2813.2514995997. The cubic root of 7914384 is about 199.2839729186.

The spelling of 7914384 in words is "seven million, nine hundred fourteen thousand, three hundred eighty-four".