8487513408 has 224 divisors, whose sum is σ = 25919216640. Its totient is φ = 2424176640.

The previous prime is 8487513407. The next prime is 8487513473. The reversal of 8487513408 is 8043157848.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8487513407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10312485 + ... + 10313307.

Almost surely, 2^8487513408 is an apocalyptic number.

8487513408 is a gapful number since it is divisible by the number (88) 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 8487513408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12959608320).

8487513408 is an abundant number, since it is smaller than the sum of its proper divisors (17431703232).

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

8487513408 is a wasteful number, since it uses less digits than its factorization.

8487513408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The square root of 8487513408 is about 92127.7016320281. The cubic root of 8487513408 is about 2039.8277286284.

The spelling of 8487513408 in words is "eight billion, four hundred eighty-seven million, five hundred thirteen thousand, four hundred eight".