19057968 has 30 divisors (see below), whose sum is σ = 53336244. Its totient is φ = 6352608.

The previous prime is 19057967. The next prime is 19057981. The reversal of 19057968 is 86975091.

19057968 is a `hidden beast` number, since 19 + 0 + 579 + 68 = 666.

It is a super-2 number, since 2×19057968² = 726412288578048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (19057967) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66030 + ... + 66317.

Almost surely, 2^19057968 is an apocalyptic number.

19057968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

19057968 is an abundant number, since it is smaller than the sum of its proper divisors (34278276).

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

19057968 is a wasteful number, since it uses less digits than its factorization.

19057968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132361 (or 132352 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 19057968 is about 4365.5432651619. The cubic root of 19057968 is about 267.1112611250. Note that the first 3 decimals are identical.

The spelling of 19057968 in words is "nineteen million, fifty-seven thousand, nine hundred sixty-eight".