13542984 has 192 divisors, whose sum is σ = 47433600. Its totient is φ = 3504384.

The previous prime is 13542967. The next prime is 13543007. The reversal of 13542984 is 48924531.

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

It is a zygodrome in base 3.

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 47 ways as a sum of consecutive naturals, for example, 255502 + ... + 255554.

It is an arithmetic number, because the mean of its divisors is an integer number (247050).

Almost surely, 2^13542984 is an apocalyptic number.

13542984 is a gapful number since it is divisible by the number (14) 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 13542984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23716800).

13542984 is an abundant number, since it is smaller than the sum of its proper divisors (33890616).

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

13542984 is a wasteful number, since it uses less digits than its factorization.

13542984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 78 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 13542984 is about 3680.0793469707. The cubic root of 13542984 is about 238.3626043021.

The spelling of 13542984 in words is "thirteen million, five hundred forty-two thousand, nine hundred eighty-four".