13572648 has 48 divisors (see below), whose sum is σ = 37065600. Its totient is φ = 4486560.

The previous prime is 13572623. The next prime is 13572661. The reversal of 13572648 is 84627531.

13572648 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 2 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8713 + ... + 10151.

It is an arithmetic number, because the mean of its divisors is an integer number (772200).

It is a vampire number, since it can be written as 1572 ⋅ 8634 (with its own digits).

Almost surely, 2^13572648 is an apocalyptic number.

13572648 is a gapful number since it is divisible by the number (18) 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 13572648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18532800).

13572648 is an abundant number, since it is smaller than the sum of its proper divisors (23492952).

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

13572648 is a wasteful number, since it uses less digits than its factorization.

13572648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1575 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 13572648 is about 3684.1074902885. The cubic root of 13572648 is about 238.5365106348.

It can be divided in two parts, 1357 and 2648, that added together give a triangular number (4005 = T₈₉).

The spelling of 13572648 in words is "thirteen million, five hundred seventy-two thousand, six hundred forty-eight".