13488540 has 48 divisors (see below), whose sum is σ = 40675488. Its totient is φ = 3320064.

The previous prime is 13488533. The next prime is 13488547. The reversal of 13488540 is 4588431.

It is an interprime number because it is at equal distance from previous prime (13488533) and next prime (13488547).

It is a super-2 number, since 2×13488540² = 363881422663200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13488547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7867 + ... + 9426.

It is an arithmetic number, because the mean of its divisors is an integer number (847406).

Almost surely, 2^13488540 is an apocalyptic number.

13488540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13488540 is an abundant number, since it is smaller than the sum of its proper divisors (27186948).

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

13488540 is a wasteful number, since it uses less digits than its factorization.

13488540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17318 (or 17316 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 13488540 is about 3672.6747746023. The cubic root of 13488540 is about 238.0427623655.

It can be divided in two parts, 13488 and 540, that added together give a triangular number (14028 = T₁₆₇).

The spelling of 13488540 in words is "thirteen million, four hundred eighty-eight thousand, five hundred forty".