7936160 has 48 divisors (see below), whose sum is σ = 18919656. Its totient is φ = 3145728.

The previous prime is 7936153. The next prime is 7936163. The reversal of 7936160 is 616397.

It can be written as a sum of positive squares in 4 ways, for example, as 7376656 + 559504 = 2716^2 + 748^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (7936163) 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, 30752 + ... + 31008.

Almost surely, 2^7936160 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 7936160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9459828).

7936160 is an abundant number, since it is smaller than the sum of its proper divisors (10983496).

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

7936160 is a wasteful number, since it uses less digits than its factorization.

7936160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 32.

The square root of 7936160 is about 2817.1190958140. The cubic root of 7936160 is about 199.4665785727.

The spelling of 7936160 in words is "seven million, nine hundred thirty-six thousand, one hundred sixty".