7386496 has 64 divisors (see below), whose sum is σ = 16621920. Its totient is φ = 3244032.

The previous prime is 7386493. The next prime is 7386523. The reversal of 7386496 is 6946837.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

Its product of digits (217728) is a multiple of the sum of its prime factors (243).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7386493) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38176 + ... + 38368.

Almost surely, 2^7386496 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 7386496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8310960).

7386496 is an abundant number, since it is smaller than the sum of its proper divisors (9235424).

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

7386496 is a wasteful number, since it uses less digits than its factorization.

7386496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 231 counting only the distinct ones).

The product of its digits is 217728, while the sum is 43.

The square root of 7386496 is about 2717.8108837813. The cubic root of 7386496 is about 194.7509070154.

The spelling of 7386496 in words is "seven million, three hundred eighty-six thousand, four hundred ninety-six".