13641948 has 72 divisors (see below), whose sum is σ = 36363600. Its totient is φ = 4306176.

The previous prime is 13641941. The next prime is 13641949. The reversal of 13641948 is 84914631.

13641948 is a `hidden beast` number, since 1 + 3 + 641 + 9 + 4 + 8 = 666.

It is a super-2 number, since 2×13641948² = 372205490469408, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13641941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76123 + ... + 76301.

It is an arithmetic number, because the mean of its divisors is an integer number (505050).

Almost surely, 2^13641948 is an apocalyptic number.

13641948 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 13641948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18181800).

13641948 is an abundant number, since it is smaller than the sum of its proper divisors (22721652).

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

13641948 is a wasteful number, since it uses less digits than its factorization.

13641948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 286 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 13641948 is about 3693.5007783944. The cubic root of 13641948 is about 238.9417994053.

The spelling of 13641948 in words is "thirteen million, six hundred forty-one thousand, nine hundred forty-eight".