1240653120 has 336 divisors, whose sum is σ = 4719523200. Its totient is φ = 270471168.

The previous prime is 1240653107. The next prime is 1240653131. The reversal of 1240653120 is 213560421.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3554706 + ... + 3555054.

It is an arithmetic number, because the mean of its divisors is an integer number (14046200).

Almost surely, 2^1240653120 is an apocalyptic number.

1240653120 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 1240653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359761600).

1240653120 is an abundant number, since it is smaller than the sum of its proper divisors (3478870080).

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

1240653120 is a wasteful number, since it uses less digits than its factorization.

1240653120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1240653120 is about 35222.9061833347. The cubic root of 1240653120 is about 1074.5256591265.

The spelling of 1240653120 in words is "one billion, two hundred forty million, six hundred fifty-three thousand, one hundred twenty".