1916968248 has 128 divisors (see below), whose sum is σ = 5749228800. Its totient is φ = 588325248.

The previous prime is 1916968213. The next prime is 1916968267. The reversal of 1916968248 is 8428696191.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1916968194 and 1916968203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1647715 + ... + 1648877.

It is an arithmetic number, because the mean of its divisors is an integer number (44915850).

Almost surely, 2^1916968248 is an apocalyptic number.

1916968248 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 1916968248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2874614400).

1916968248 is an abundant number, since it is smaller than the sum of its proper divisors (3832260552).

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

1916968248 is a wasteful number, since it uses less digits than its factorization.

1916968248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1768 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 1916968248 is about 43783.1959546125. The cubic root of 1916968248 is about 1242.2384661951.

The spelling of 1916968248 in words is "one billion, nine hundred sixteen million, nine hundred sixty-eight thousand, two hundred forty-eight".