19967040 has 112 divisors (see below), whose sum is σ = 70469760. Its totient is φ = 5322240.

The previous prime is 19966951. The next prime is 19967047. The reversal of 19967040 is 4076991.

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 = 19966986 and 19967004.

It is not an unprimeable number, because it can be changed into a prime (19967047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7485 + ... + 9795.

Almost surely, 2^19967040 is an apocalyptic number.

19967040 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 19967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35234880).

19967040 is an abundant number, since it is smaller than the sum of its proper divisors (50502720).

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

19967040 is a wasteful number, since it uses less digits than its factorization.

19967040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 19967040 is about 4468.4493954839. The cubic root of 19967040 is about 271.2925676645.

The spelling of 19967040 in words is "nineteen million, nine hundred sixty-seven thousand, forty".