1240672000 has 144 divisors (see below), whose sum is σ = 3124229472. Its totient is φ = 490905600.

The previous prime is 1240671983. The next prime is 1240672007. The reversal of 1240672000 is 2760421.

It is a super-3 number, since 3×1240672000³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1240672007) 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 15 ways as a sum of consecutive naturals, for example, 4383859 + ... + 4384141.

It is an arithmetic number, because the mean of its divisors is an integer number (21696038).

Almost surely, 2^1240672000 is an apocalyptic number.

1240672000 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 1240672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562114736).

1240672000 is an abundant number, since it is smaller than the sum of its proper divisors (1883557472).

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

1240672000 is an equidigital number, since it uses as much as digits as its factorization.

1240672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 1240672000 is about 35223.1741897291. The cubic root of 1240672000 is about 1074.5311097345.

The spelling of 1240672000 in words is "one billion, two hundred forty million, six hundred seventy-two thousand".