6538752 has 160 divisors (see below), whose sum is σ = 21605760. Its totient is φ = 1935360.

The previous prime is 6538747. The next prime is 6538757. The reversal of 6538752 is 2578356.

It is an interprime number because it is at equal distance from previous prime (6538747) and next prime (6538757).

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 d-powerful number, because it can be written as 6⁸ + 5⁴ + 3¹³ + 8⁶ + 7³ + 5⁹ + 2²⁰ .

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6538757) 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, 152043 + ... + 152085.

It is an arithmetic number, because the mean of its divisors is an integer number (135036).

Almost surely, 2^6538752 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 6538752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10802880).

6538752 is an abundant number, since it is smaller than the sum of its proper divisors (15067008).

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

6538752 is a wasteful number, since it uses less digits than its factorization.

6538752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 59 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 6538752 is about 2557.0983555585. The cubic root of 6538752 is about 186.9957008553.

The spelling of 6538752 in words is "six million, five hundred thirty-eight thousand, seven hundred fifty-two".