1240554560 has 168 divisors, whose sum is σ = 3495394584. Its totient is φ = 418037760.

The previous prime is 1240554551. The next prime is 1240554577. The reversal of 1240554560 is 654550421.

It can be written as a sum of positive squares in 4 ways, for example, as 174662656 + 1065891904 = 13216^2 + 32648^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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 23 ways as a sum of consecutive naturals, for example, 955832 + ... + 957128.

Almost surely, 2^1240554560 is an apocalyptic number.

1240554560 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 1240554560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747697292).

1240554560 is an abundant number, since it is smaller than the sum of its proper divisors (2254840024).

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

1240554560 is a wasteful number, since it uses less digits than its factorization.

1240554560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The square root of 1240554560 is about 35221.5070659959. The cubic root of 1240554560 is about 1074.4972042071.

The spelling of 1240554560 in words is "one billion, two hundred forty million, five hundred fifty-four thousand, five hundred sixty".