7951944 has 128 divisors (see below), whose sum is σ = 26772480. Its totient is φ = 1900800.

The previous prime is 7951913. The next prime is 7951949. The reversal of 7951944 is 4491597.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (7951949) 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 31 ways as a sum of consecutive naturals, for example, 23859 + ... + 24189.

It is an arithmetic number, because the mean of its divisors is an integer number (209160).

Almost surely, 2^7951944 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 7951944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13386240).

7951944 is an abundant number, since it is smaller than the sum of its proper divisors (18820536).

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

7951944 is a wasteful number, since it uses less digits than its factorization.

7951944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 367 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 7951944 is about 2819.9191477771. The cubic root of 7951944 is about 199.5987287788.

The spelling of 7951944 in words is "seven million, nine hundred fifty-one thousand, nine hundred forty-four".