19949040 has 120 divisors (see below), whose sum is σ = 67897440. Its totient is φ = 5248512.

The previous prime is 19949029. The next prime is 19949047. The reversal of 19949040 is 4094991.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 19948986 and 19949004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19949047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74026 + ... + 74294.

It is an arithmetic number, because the mean of its divisors is an integer number (565812).

Almost surely, 2^19949040 is an apocalyptic number.

19949040 is a gapful number since it is divisible by the number (10) 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 19949040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33948720).

19949040 is an abundant number, since it is smaller than the sum of its proper divisors (47948400).

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

19949040 is a wasteful number, since it uses less digits than its factorization.

19949040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 19949040 is about 4466.4348198535. The cubic root of 19949040 is about 271.2110210364.

The spelling of 19949040 in words is "nineteen million, nine hundred forty-nine thousand, forty".