1240745856 has 384 divisors, whose sum is σ = 4152591360. Its totient is φ = 326430720.

The previous prime is 1240745851. The next prime is 1240745861. The reversal of 1240745856 is 6585470421.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1240745851) and next prime (1240745861).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1240745851) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 20340066 + ... + 20340126.

It is an arithmetic number, because the mean of its divisors is an integer number (10814040).

Almost surely, 2^1240745856 is an apocalyptic number.

1240745856 is a gapful number since it is divisible by the number (16) 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 1240745856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076295680).

1240745856 is an abundant number, since it is smaller than the sum of its proper divisors (2911845504).

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

1240745856 is a wasteful number, since it uses less digits than its factorization.

1240745856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 1240745856 is about 35224.2225748135. Note that the first 3 decimals coincide. The cubic root of 1240745856 is about 1074.5524312428.

The spelling of 1240745856 in words is "one billion, two hundred forty million, seven hundred forty-five thousand, eight hundred fifty-six".