1147587840 has 648 divisors, whose sum is σ = 4907316960. Its totient is φ = 246177792.

The previous prime is 1147587817. The next prime is 1147587841. The reversal of 1147587840 is 487857411.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1147587841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10725067 + ... + 10725173.

It is an arithmetic number, because the mean of its divisors is an integer number (7573020).

Almost surely, 2^1147587840 is an apocalyptic number.

1147587840 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 1147587840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453658480).

1147587840 is an abundant number, since it is smaller than the sum of its proper divisors (3759729120).

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

1147587840 is a wasteful number, since it uses less digits than its factorization.

1147587840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 1147587840 is about 33876.0658872898. The cubic root of 1147587840 is about 1046.9565201715.

The spelling of 1147587840 in words is "one billion, one hundred forty-seven million, five hundred eighty-seven thousand, eight hundred forty".