19768416 has 48 divisors (see below), whose sum is σ = 54949104. Its totient is φ = 6201344.

The previous prime is 19768409. The next prime is 19768423. The reversal of 19768416 is 61486791.

It is an interprime number because it is at equal distance from previous prime (19768409) and next prime (19768423).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×19768416² = 781580542298112, which contains 22 as substring.

It is a congruent number.

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, 4425 + ... + 7688.

It is an arithmetic number, because the mean of its divisors is an integer number (1144773).

Almost surely, 2^19768416 is an apocalyptic number.

19768416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

19768416 is an abundant number, since it is smaller than the sum of its proper divisors (35180688).

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

19768416 is a wasteful number, since it uses less digits than its factorization.

19768416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12143 (or 12135 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 19768416 is about 4446.1686877580. The cubic root of 19768416 is about 270.3899988131.

The spelling of 19768416 in words is "nineteen million, seven hundred sixty-eight thousand, four hundred sixteen".