19932640 has 144 divisors (see below), whose sum is σ = 59566752. Its totient is φ = 6137856.

The previous prime is 19932637. The next prime is 19932641. The reversal of 19932640 is 4623991.

It is a junction number, because it is equal to n+sod(n) for n = 19932596 and 19932605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19932641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 538702 + ... + 538738.

It is an arithmetic number, because the mean of its divisors is an integer number (413658).

Almost surely, 2^19932640 is an apocalyptic number.

19932640 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 19932640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29783376).

19932640 is an abundant number, since it is smaller than the sum of its proper divisors (39634112).

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

19932640 is a wasteful number, since it uses less digits than its factorization.

19932640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 19932640 is about 4464.5985261835. The cubic root of 19932640 is about 271.1366802803.

The spelling of 19932640 in words is "nineteen million, nine hundred thirty-two thousand, six hundred forty".