1240868160 has 420 divisors, whose sum is σ = 5139892692. Its totient is φ = 283336704.

The previous prime is 1240868141. The next prime is 1240868191. The reversal of 1240868160 is 618680421.

It can be written as a sum of positive squares in 2 ways, for example, as 854509824 + 386358336 = 29232^2 + 19656^2 .

It is a tau number, because it is divible by the number of its divisors (420).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1269592 + ... + 1270568.

Almost surely, 2^1240868160 is an apocalyptic number.

1240868160 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 1240868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2569946346).

1240868160 is an abundant number, since it is smaller than the sum of its proper divisors (3899024532).

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

1240868160 is an equidigital number, since it uses as much as digits as its factorization.

1240868160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1240868160 is about 35225.9586100932. The cubic root of 1240868160 is about 1074.5877373564.

The spelling of 1240868160 in words is "one billion, two hundred forty million, eight hundred sixty-eight thousand, one hundred sixty".