13673484 has 108 divisors (see below), whose sum is σ = 39407368. Its totient is φ = 3991680.

The previous prime is 13673479. The next prime is 13673497. The reversal of 13673484 is 48437631.

13673484 = 45³ + 46³ + ... + 87³.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 187272 + ... + 187344.

Almost surely, 2^13673484 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 13673484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19703684).

13673484 is an abundant number, since it is smaller than the sum of its proper divisors (25733884).

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

13673484 is a wasteful number, since it uses less digits than its factorization.

13673484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 132 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 13673484 is about 3697.7674345475. The cubic root of 13673484 is about 239.1257777644.

It can be divided in two parts, 1367 and 3484, that added together give a triangular number (4851 = T₉₈).

The spelling of 13673484 in words is "thirteen million, six hundred seventy-three thousand, four hundred eighty-four".