7338016 has 96 divisors (see below), whose sum is σ = 18289152. Its totient is φ = 2826240.

The previous prime is 7338013. The next prime is 7338031. The reversal of 7338016 is 6108337.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7338011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156105 + ... + 156151.

It is an arithmetic number, because the mean of its divisors is an integer number (190512).

Almost surely, 2^7338016 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 7338016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9144576).

7338016 is an abundant number, since it is smaller than the sum of its proper divisors (10951136).

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

7338016 is a wasteful number, since it uses less digits than its factorization.

7338016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 7338016 is about 2708.8772582013. The cubic root of 7338016 is about 194.3239000573.

The spelling of 7338016 in words is "seven million, three hundred thirty-eight thousand, sixteen".