7953696 has 36 divisors (see below), whose sum is σ = 22619142. Its totient is φ = 2651136.

The previous prime is 7953691. The next prime is 7953707. The reversal of 7953696 is 6963597.

It can be written as a sum of positive squares in only one way, i.e., 7952400 + 1296 = 2820^2 + 36^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×7953696² = 126522560120832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7953691) 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 5 ways as a sum of consecutive naturals, for example, 13521 + ... + 14096.

Almost surely, 2^7953696 is an apocalyptic number.

It is an amenable number.

7953696 is an abundant number, since it is smaller than the sum of its proper divisors (14665446).

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

7953696 is a wasteful number, since it uses less digits than its factorization.

7953696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27633 (or 27622 counting only the distinct ones).

The product of its digits is 306180, while the sum is 45.

The square root of 7953696 is about 2820.2297778727. The cubic root of 7953696 is about 199.6133864648.

Adding to 7953696 its product of digits (306180), we get a square (8259876 = 2874²).

Subtracting from 7953696 its reverse (6963597), we obtain a palindrome (990099).

It can be divided in two parts, 7953 and 696, that added together give a square (8649 = 93²).

The spelling of 7953696 in words is "seven million, nine hundred fifty-three thousand, six hundred ninety-six".