7961448 has 64 divisors (see below), whose sum is σ = 22161600. Its totient is φ = 2362880.

The previous prime is 7961441. The next prime is 7961449. The reversal of 7961448 is 8441697.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (7961441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13708 + ... + 14276.

It is an arithmetic number, because the mean of its divisors is an integer number (346275).

Almost surely, 2^7961448 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 7961448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11080800).

7961448 is an abundant number, since it is smaller than the sum of its proper divisors (14200152).

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

7961448 is a wasteful number, since it uses less digits than its factorization.

7961448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 638 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 7961448 is about 2821.6037992603. The cubic root of 7961448 is about 199.6782158859.

Subtracting 7961448 from its reverse (8441697), we obtain a square (480249 = 693²).

The spelling of 7961448 in words is "seven million, nine hundred sixty-one thousand, four hundred forty-eight".