19893040 has 40 divisors (see below), whose sum is σ = 46559520. Its totient is φ = 7904256.

The previous prime is 19893031. The next prime is 19893067. The reversal of 19893040 is 4039891.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 19892987 and 19893005.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12616 + ... + 14104.

It is an arithmetic number, because the mean of its divisors is an integer number (1163988).

Almost surely, 2^19893040 is an apocalyptic number.

19893040 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 19893040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23279760).

19893040 is an abundant number, since it is smaller than the sum of its proper divisors (26666480).

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

19893040 is a wasteful number, since it uses less digits than its factorization.

19893040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 19893040 is about 4460.1614320560. The cubic root of 19893040 is about 270.9570062920.

The spelling of 19893040 in words is "nineteen million, eight hundred ninety-three thousand, forty".