19649040 has 160 divisors (see below), whose sum is σ = 66662400. Its totient is φ = 4769280.

The previous prime is 19649027. The next prime is 19649041. The reversal of 19649040 is 4094691.

It is a junction number, because it is equal to n+sod(n) for n = 19648992 and 19649010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19649041) 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, 141291 + ... + 141429.

It is an arithmetic number, because the mean of its divisors is an integer number (416640).

Almost surely, 2^19649040 is an apocalyptic number.

19649040 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 19649040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33331200).

19649040 is an abundant number, since it is smaller than the sum of its proper divisors (47013360).

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

19649040 is a wasteful number, since it uses less digits than its factorization.

19649040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 19649040 is about 4432.7237676174. The cubic root of 19649040 is about 269.8446294025.

The spelling of 19649040 in words is "nineteen million, six hundred forty-nine thousand, forty".