1926451968 has 288 divisors, whose sum is σ = 6294081024. Its totient is φ = 510590976.

The previous prime is 1926451949. The next prime is 1926451979. The reversal of 1926451968 is 8691546291.

It is a super-2 number, since 2×1926451968² = 7422434370022146048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 1926451968.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9778846 + ... + 9779042.

It is an arithmetic number, because the mean of its divisors is an integer number (21854448).

Almost surely, 2^1926451968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1926451968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3147040512).

1926451968 is an abundant number, since it is smaller than the sum of its proper divisors (4367629056).

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

1926451968 is a wasteful number, since it uses less digits than its factorization.

1926451968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 333 counting only the distinct ones).

The product of its digits is 933120, while the sum is 51.

The square root of 1926451968 is about 43891.3655289967. The cubic root of 1926451968 is about 1244.2836517119.

The spelling of 1926451968 in words is "one billion, nine hundred twenty-six million, four hundred fifty-one thousand, nine hundred sixty-eight".