1968251040 has 576 divisors, whose sum is σ = 8302694400. Its totient is φ = 414554112.

The previous prime is 1968251017. The next prime is 1968251053. The reversal of 1968251040 is 401528691.

It is a super-2 number, since 2×1968251040² = 7748024312922163200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1968250986 and 1968251004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8235241 + ... + 8235479.

It is an arithmetic number, because the mean of its divisors is an integer number (14414400).

Almost surely, 2^1968251040 is an apocalyptic number.

1968251040 is a gapful number since it is divisible by the number (10) 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 1968251040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4151347200).

1968251040 is an abundant number, since it is smaller than the sum of its proper divisors (6334443360).

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

1968251040 is a wasteful number, since it uses less digits than its factorization.

1968251040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1968251040 is about 44364.9753747255. The cubic root of 1968251040 is about 1253.2185939427.

The spelling of 1968251040 in words is "one billion, nine hundred sixty-eight million, two hundred fifty-one thousand, forty".