13119948 has 96 divisors (see below), whose sum is σ = 36288000. Its totient is φ = 4092480.

The previous prime is 13119943. The next prime is 13119961. The reversal of 13119948 is 84991131.

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 (13119943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184753 + ... + 184823.

It is an arithmetic number, because the mean of its divisors is an integer number (378000).

Almost surely, 2^13119948 is an apocalyptic number.

13119948 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 13119948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144000).

13119948 is an abundant number, since it is smaller than the sum of its proper divisors (23168052).

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

13119948 is a wasteful number, since it uses less digits than its factorization.

13119948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 164 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 13119948 is about 3622.1468771987. The cubic root of 13119948 is about 235.8544300017.

The spelling of 13119948 in words is "thirteen million, one hundred nineteen thousand, nine hundred forty-eight".