7954164 has 72 divisors (see below), whose sum is σ = 21877128. Its totient is φ = 2426880.

The previous prime is 7954151. The next prime is 7954213. The reversal of 7954164 is 4614597.

It can be written as a sum of positive squares in 4 ways, for example, as 1764 + 7952400 = 42^2 + 2820^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24934 + ... + 25250.

It is an arithmetic number, because the mean of its divisors is an integer number (303849).

Almost surely, 2^7954164 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 7954164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10938564).

7954164 is an abundant number, since it is smaller than the sum of its proper divisors (13922964).

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

7954164 is a wasteful number, since it uses less digits than its factorization.

7954164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 380 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 7954164 is about 2820.3127486149. The cubic root of 7954164 is about 199.6173015097.

It can be divided in two parts, 7954 and 164, that added together give a palindrome (8118).

The spelling of 7954164 in words is "seven million, nine hundred fifty-four thousand, one hundred sixty-four".