1468670840 has 192 divisors, whose sum is σ = 4194711360. Its totient is φ = 452874240.

The previous prime is 1468670837. The next prime is 1468670843. The reversal of 1468670840 is 480768641.

It is an interprime number because it is at equal distance from previous prime (1468670837) and next prime (1468670843).

It is a junction number, because it is equal to n+sod(n) for n = 1468670791 and 1468670800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1468670843) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1939742 + ... + 1940498.

It is an arithmetic number, because the mean of its divisors is an integer number (21847455).

Almost surely, 2^1468670840 is an apocalyptic number.

1468670840 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 1468670840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097355680).

1468670840 is an abundant number, since it is smaller than the sum of its proper divisors (2726040520).

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

1468670840 is a wasteful number, since it uses less digits than its factorization.

1468670840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 1468670840 is about 38323.2415121686. The cubic root of 1468670840 is about 1136.6885641569.

The spelling of 1468670840 in words is "one billion, four hundred sixty-eight million, six hundred seventy thousand, eight hundred forty".