7842528 has 96 divisors (see below), whose sum is σ = 23738400. Its totient is φ = 2515968.

The previous prime is 7842511. The next prime is 7842529. The reversal of 7842528 is 8252487.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 7842492 and 7842501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7842529) 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 15 ways as a sum of consecutive naturals, for example, 24900 + ... + 25212.

It is an arithmetic number, because the mean of its divisors is an integer number (247275).

Almost surely, 2^7842528 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 7842528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11869200).

7842528 is an abundant number, since it is smaller than the sum of its proper divisors (15895872).

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

7842528 is a wasteful number, since it uses less digits than its factorization.

7842528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 347 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 7842528 is about 2800.4513921866. The cubic root of 7842528 is about 198.6790277031.

The spelling of 7842528 in words is "seven million, eight hundred forty-two thousand, five hundred twenty-eight".