7954128 has 120 divisors (see below), whose sum is σ = 27442688. Its totient is φ = 2094336.

The previous prime is 7954127. The next prime is 7954151. The reversal of 7954128 is 8214597.

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

It is a junction number, because it is equal to n+sod(n) for n = 7954092 and 7954101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7954127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12801 + ... + 13407.

Almost surely, 2^7954128 is an apocalyptic number.

7954128 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7954128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13721344).

7954128 is an abundant number, since it is smaller than the sum of its proper divisors (19488560).

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

7954128 is a wasteful number, since it uses less digits than its factorization.

7954128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 632 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 7954128 is about 2820.3063663368. The cubic root of 7954128 is about 199.6170003579.

The spelling of 7954128 in words is "seven million, nine hundred fifty-four thousand, one hundred twenty-eight".