7538868 has 36 divisors (see below), whose sum is σ = 19374628. Its totient is φ = 2471040.

The previous prime is 7538863. The next prime is 7538887. The reversal of 7538868 is 8688357.

It can be written as a sum of positive squares in 2 ways, for example, as 1127844 + 6411024 = 1062^2 + 2532^2 .

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7538863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 480 + ... + 3912.

Almost surely, 2^7538868 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 7538868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9687314).

7538868 is an abundant number, since it is smaller than the sum of its proper divisors (11835760).

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

7538868 is a wasteful number, since it uses less digits than its factorization.

7538868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3504 (or 3499 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 7538868 is about 2745.6999107696. The cubic root of 7538868 is about 196.0809397763.

The spelling of 7538868 in words is "seven million, five hundred thirty-eight thousand, eight hundred sixty-eight".