13506948 has 216 divisors, whose sum is σ = 46475520. Its totient is φ = 3265920.

The previous prime is 13506923. The next prime is 13506949. The reversal of 13506948 is 84960531.

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

It is not an unprimeable number, because it can be changed into a prime (13506949) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 435693 + ... + 435723.

Almost surely, 2^13506948 is an apocalyptic number.

13506948 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 13506948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23237760).

13506948 is an abundant number, since it is smaller than the sum of its proper divisors (32968572).

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

13506948 is a wasteful number, since it uses less digits than its factorization.

13506948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 13506948 is about 3675.1799955921. The cubic root of 13506948 is about 238.1509999097.

Subtracting from 13506948 its product of nonzero digits (25920), we obtain a triangular number (13481028 = T₅₁₉₂).

The spelling of 13506948 in words is "thirteen million, five hundred six thousand, nine hundred forty-eight".