1964868840 has 768 divisors, whose sum is σ = 8151736320. Its totient is φ = 419696640.

The previous prime is 1964868791. The next prime is 1964868853. The reversal of 1964868840 is 488684691.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41805697 + ... + 41805743.

It is an arithmetic number, because the mean of its divisors is an integer number (10614240).

Almost surely, 2^1964868840 is an apocalyptic number.

1964868840 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 1964868840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4075868160).

1964868840 is an abundant number, since it is smaller than the sum of its proper divisors (6186867480).

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

1964868840 is a wasteful number, since it uses less digits than its factorization.

1964868840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 1964868840 is about 44326.8410785158. The cubic root of 1964868840 is about 1252.5003478073.

It can be divided in two parts, 19648 and 68840, that added together give a palindrome (88488).

The spelling of 1964868840 in words is "one billion, nine hundred sixty-four million, eight hundred sixty-eight thousand, eight hundred forty".