7952896 has 60 divisors (see below), whose sum is σ = 18542898. Its totient is φ = 3397632.

The previous prime is 7952869. The next prime is 7952897. The reversal of 7952896 is 6982597.

It can be written as a sum of positive squares in only one way, i.e., 7840000 + 112896 = 2800^2 + 336^2 .

It is not an unprimeable number, because it can be changed into a prime (7952897) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24930 + ... + 25246.

Almost surely, 2^7952896 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 7952896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9271449).

7952896 is an abundant number, since it is smaller than the sum of its proper divisors (10590002).

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

7952896 is an equidigital number, since it uses as much as digits as its factorization.

7952896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 326 counting only the distinct ones).

The product of its digits is 272160, while the sum is 46.

The square root of 7952896 is about 2820.0879418912. The cubic root of 7952896 is about 199.6066937245.

Subtracting from 7952896 its reverse (6982597), we obtain a cube (970299 = 99³).

It can be divided in two parts, 79 and 52896, that added together give a triangular number (52975 = T₃₂₅).

The spelling of 7952896 in words is "seven million, nine hundred fifty-two thousand, eight hundred ninety-six".