13604948 has 36 divisors (see below), whose sum is σ = 28388052. Its totient is φ = 5685120.

The previous prime is 13604933. The next prime is 13604951. The reversal of 13604948 is 84940631.

13604948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2502724 + 11102224 = 1582^2 + 3332^2 .

It is a super-2 number, since 2×13604948² = 370189220165408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7190 + ... + 8882.

It is an arithmetic number, because the mean of its divisors is an integer number (788557).

Almost surely, 2^13604948 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 13604948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14194026).

13604948 is an abundant number, since it is smaller than the sum of its proper divisors (14783104).

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

13604948 is a wasteful number, since it uses less digits than its factorization.

13604948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 13604948 is about 3688.4885793506. The cubic root of 13604948 is about 238.7255826934.

The spelling of 13604948 in words is "thirteen million, six hundred four thousand, nine hundred forty-eight".