8127498240 has 288 divisors, whose sum is σ = 29149356600. Its totient is φ = 2091909120.

The previous prime is 8127498233. The next prime is 8127498251. The reversal of 8127498240 is 428947218.

It can be written as a sum of positive squares in 4 ways, for example, as 7988069376 + 139428864 = 89376^2 + 11808^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2671120 + ... + 2674160.

Almost surely, 2^8127498240 is an apocalyptic number.

8127498240 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 8127498240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14574678300).

8127498240 is an abundant number, since it is smaller than the sum of its proper divisors (21021858360).

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

8127498240 is a wasteful number, since it uses less digits than its factorization.

8127498240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3103 (or 3080 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 8127498240 is about 90152.6385637159. The cubic root of 8127498240 is about 2010.5689040861.

The spelling of 8127498240 in words is "eight billion, one hundred twenty-seven million, four hundred ninety-eight thousand, two hundred forty".