7923136 has 56 divisors (see below), whose sum is σ = 17282160. Its totient is φ = 3581952.

The previous prime is 7923131. The next prime is 7923161. The reversal of 7923136 is 6313297.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 7923098 and 7923107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7923131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73995 + ... + 74101.

It is an arithmetic number, because the mean of its divisors is an integer number (308610).

Almost surely, 2^7923136 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 7923136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8641080).

7923136 is an abundant number, since it is smaller than the sum of its proper divisors (9359024).

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

7923136 is a wasteful number, since it uses less digits than its factorization.

7923136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 211 counting only the distinct ones).

The product of its digits is 6804, while the sum is 31.

The square root of 7923136 is about 2814.8065652901. The cubic root of 7923136 is about 199.3574042313.

The spelling of 7923136 in words is "seven million, nine hundred twenty-three thousand, one hundred thirty-six".