19742940 has 120 divisors (see below), whose sum is σ = 70822752. Its totient is φ = 4510080.

The previous prime is 19742911. The next prime is 19742951. The reversal of 19742940 is 4924791.

19742940 is a `hidden beast` number, since 197 + 429 + 40 = 666.

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 = 19742895 and 19742904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10470 + ... + 12210.

Almost surely, 2^19742940 is an apocalyptic number.

19742940 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 19742940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35411376).

19742940 is an abundant number, since it is smaller than the sum of its proper divisors (51079812).

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

19742940 is a wasteful number, since it uses less digits than its factorization.

19742940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 19742940 is about 4443.3028256017. The cubic root of 19742940 is about 270.2737963342.

The spelling of 19742940 in words is "nineteen million, seven hundred forty-two thousand, nine hundred forty".