13419648 has 128 divisors (see below), whose sum is σ = 43329600. Its totient is φ = 4055040.

The previous prime is 13419589. The next prime is 13419661. The reversal of 13419648 is 84691431.

13419648 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 9 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37840 + ... + 38192.

Almost surely, 2^13419648 is an apocalyptic number.

13419648 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 13419648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21664800).

13419648 is an abundant number, since it is smaller than the sum of its proper divisors (29909952).

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

13419648 is a wasteful number, since it uses less digits than its factorization.

13419648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 369 counting only the distinct ones).

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

The square root of 13419648 is about 3663.2837727918. The cubic root of 13419648 is about 237.6368068681.

The spelling of 13419648 in words is "thirteen million, four hundred nineteen thousand, six hundred forty-eight".