10487568 has 120 divisors (see below), whose sum is σ = 34039488. Its totient is φ = 2765952.

The previous prime is 10487567. The next prime is 10487573. The reversal of 10487568 is 86578401.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (10487567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 806730 + ... + 806742.

Almost surely, 2^10487568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10487568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17019744).

10487568 is an abundant number, since it is smaller than the sum of its proper divisors (23551920).

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

10487568 is an frugal number, since it uses more digits than its factorization.

10487568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 10487568 is about 3238.4514818042. The cubic root of 10487568 is about 218.8895003528.

It can be divided in two parts, 10 and 487568, that added together give a triangular number (487578 = T₉₈₇).

The spelling of 10487568 in words is "ten million, four hundred eighty-seven thousand, five hundred sixty-eight".