1968833250 has 192 divisors, whose sum is σ = 5695073280. Its totient is φ = 502848000.

The previous prime is 1968833249. The next prime is 1968833261. The reversal of 1968833250 is 523388691.

It is a happy number.

1968833250 is a `hidden beast` number, since 196 + 88 + 332 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1968833196 and 1968833205.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20297202 + ... + 20297298.

It is an arithmetic number, because the mean of its divisors is an integer number (29661840).

Almost surely, 2^1968833250 is an apocalyptic number.

1968833250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1968833250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2847536640).

1968833250 is an abundant number, since it is smaller than the sum of its proper divisors (3726240030).

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

1968833250 is an equidigital number, since it uses as much as digits as its factorization.

1968833250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1968833250 is about 44371.5364845528. The cubic root of 1968833250 is about 1253.3421493992.

The spelling of 1968833250 in words is "one billion, nine hundred sixty-eight million, eight hundred thirty-three thousand, two hundred fifty".