7934112 has 60 divisors (see below), whose sum is σ = 23341626. Its totient is φ = 2643840.

The previous prime is 7934107. The next prime is 7934119. The reversal of 7934112 is 2114397.

It can be written as a sum of positive squares in only one way, i.e., 4822416 + 3111696 = 2196^2 + 1764^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (7934119) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1062 + ... + 4122.

Almost surely, 2^7934112 is an apocalyptic number.

7934112 is a gapful number since it is divisible by the number (72) 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 7934112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11670813).

7934112 is an abundant number, since it is smaller than the sum of its proper divisors (15407514).

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

7934112 is a wasteful number, since it uses less digits than its factorization.

7934112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3083 (or 3066 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 7934112 is about 2816.7555804507. The cubic root of 7934112 is about 199.4494190272.

It can be divided in two parts, 79 and 34112, that added together give a triangular number (34191 = T₂₆₁).

The spelling of 7934112 in words is "seven million, nine hundred thirty-four thousand, one hundred twelve".