7824138 has 32 divisors (see below), whose sum is σ = 17971200. Its totient is φ = 2224560.

The previous prime is 7824133. The next prime is 7824169. The reversal of 7824138 is 8314287.

7824138 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×7824138² = 122434270886088, which contains 22 as substring.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 7824099 and 7824108.

It is not an unprimeable number, because it can be changed into a prime (7824133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12763 + ... + 13361.

It is an arithmetic number, because the mean of its divisors is an integer number (561600).

Almost surely, 2^7824138 is an apocalyptic number.

7824138 is an abundant number, since it is smaller than the sum of its proper divisors (10147062).

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

7824138 is a wasteful number, since it uses less digits than its factorization.

7824138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922.

The product of its digits is 10752, while the sum is 33.

The square root of 7824138 is about 2797.1660658602. The cubic root of 7824138 is about 198.5236115365.

The spelling of 7824138 in words is "seven million, eight hundred twenty-four thousand, one hundred thirty-eight".