19913040 has 200 divisors, whose sum is σ = 79221120. Its totient is φ = 4541184.

The previous prime is 19913029. The next prime is 19913041. The reversal of 19913040 is 4031991.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 19912995 and 19913013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19913041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45141 + ... + 45579.

Almost surely, 2^19913040 is an apocalyptic number.

19913040 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 19913040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39610560).

19913040 is an abundant number, since it is smaller than the sum of its proper divisors (59308080).

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

19913040 is a wasteful number, since it uses less digits than its factorization.

19913040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 19913040 is about 4462.4029401209. The cubic root of 19913040 is about 271.0477805033.

The spelling of 19913040 in words is "nineteen million, nine hundred thirteen thousand, forty".