19012968 has 160 divisors (see below), whose sum is σ = 59865960. Its totient is φ = 5598720.

The previous prime is 19012921. The next prime is 19012969. The reversal of 19012968 is 86921091.

It can be written as a sum of positive squares in 4 ways, for example, as 11819844 + 7193124 = 3438^2 + 2682^2 .

It is a super-2 number, since 2×19012968² = 722985904338048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (19012969) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 311658 + ... + 311718.

Almost surely, 2^19012968 is an apocalyptic number.

19012968 is a gapful number since it is divisible by the number (18) 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 19012968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29932980).

19012968 is an abundant number, since it is smaller than the sum of its proper divisors (40852992).

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

19012968 is a wasteful number, since it uses less digits than its factorization.

19012968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 19012968 is about 4360.3862214258. The cubic root of 19012968 is about 266.9008595439.

The spelling of 19012968 in words is "nineteen million, twelve thousand, nine hundred sixty-eight".