1240896384 has 576 divisors, whose sum is σ = 4761666000. Its totient is φ = 306561024.

The previous prime is 1240896383. The next prime is 1240896389. The reversal of 1240896384 is 4836980421.

It is a happy number.

1240896384 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 8 + 9 + 638 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1240896383) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13942612 + ... + 13942700.

Almost surely, 2^1240896384 is an apocalyptic number.

1240896384 is a gapful number since it is divisible by the number (14) 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 1240896384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380833000).

1240896384 is an abundant number, since it is smaller than the sum of its proper divisors (3520769616).

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

1240896384 is a wasteful number, since it uses less digits than its factorization.

1240896384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 1240896384 is about 35226.3592214694. The cubic root of 1240896384 is about 1074.5958845916.

The spelling of 1240896384 in words is "one billion, two hundred forty million, eight hundred ninety-six thousand, three hundred eighty-four".