19742976 has 216 divisors, whose sum is σ = 66961440. Its totient is φ = 5529600.

The previous prime is 19742963. The next prime is 19742999. The reversal of 19742976 is 67924791.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 481516 + ... + 481556.

Almost surely, 2^19742976 is an apocalyptic number.

19742976 is a gapful number since it is divisible by the number (16) 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 19742976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33480720).

19742976 is an abundant number, since it is smaller than the sum of its proper divisors (47218464).

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

19742976 is a wasteful number, since it uses less digits than its factorization.

19742976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 76 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 19742976 is about 4443.3068766404. The cubic root of 19742976 is about 270.2739606098.

It can be divided in two parts, 1974 and 2976, that added together give a triangular number (4950 = T₉₉).

The spelling of 19742976 in words is "nineteen million, seven hundred forty-two thousand, nine hundred seventy-six".