536648544 has 96 divisors (see below), whose sum is σ = 1571724000. Its totient is φ = 178140672.

The previous prime is 536648543. The next prime is 536648569. The reversal of 536648544 is 445846635.

536648544 is a `hidden beast` number, since 5 + 3 + 66 + 48 + 544 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 536648544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536648543) 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, 231262 + ... + 233570.

It is an arithmetic number, because the mean of its divisors is an integer number (16372125).

Almost surely, 2^536648544 is an apocalyptic number.

536648544 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536648544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785862000).

536648544 is an abundant number, since it is smaller than the sum of its proper divisors (1035075456).

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

536648544 is a wasteful number, since it uses less digits than its factorization.

536648544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2597 (or 2583 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The square root of 536648544 is about 23165.6759884101. The cubic root of 536648544 is about 812.6371115038.

The spelling of 536648544 in words is "five hundred thirty-six million, six hundred forty-eight thousand, five hundred forty-four".