8731242000 has 240 divisors, whose sum is σ = 32841991728. Its totient is φ = 2149171200.

The previous prime is 8731241993. The next prime is 8731242053. The reversal of 8731242000 is 2421378.

It can be written as a sum of positive squares in 8 ways, for example, as 1649009664 + 7082232336 = 40608^2 + 84156^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 215344 + ... + 252656.

Almost surely, 2^8731242000 is an apocalyptic number.

8731242000 is a gapful number since it is divisible by the number (80) 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 8731242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16420995864).

8731242000 is an abundant number, since it is smaller than the sum of its proper divisors (24110749728).

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

8731242000 is a wasteful number, since it uses less digits than its factorization.

8731242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37355 (or 37336 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 8731242000 is about 93441.1151474553. The cubic root of 8731242000 is about 2059.1690807912.

Adding to 8731242000 its reverse (2421378), we get a palindrome (8733663378).

The spelling of 8731242000 in words is "eight billion, seven hundred thirty-one million, two hundred forty-two thousand".