7468128 has 36 divisors (see below), whose sum is σ = 21238308. Its totient is φ = 2489280.

The previous prime is 7468103. The next prime is 7468129. The reversal of 7468128 is 8218647.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 7468092 and 7468101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7468129) 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, 12678 + ... + 13253.

It is an arithmetic number, because the mean of its divisors is an integer number (589953).

Almost surely, 2^7468128 is an apocalyptic number.

It is an amenable number.

7468128 is an abundant number, since it is smaller than the sum of its proper divisors (13770180).

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

7468128 is a wasteful number, since it uses less digits than its factorization.

7468128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25947 (or 25936 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 7468128 is about 2732.7875877938. The cubic root of 7468128 is about 195.4657113309.

The spelling of 7468128 in words is "seven million, four hundred sixty-eight thousand, one hundred twenty-eight".