10486960 has 80 divisors (see below), whose sum is σ = 28203552. Its totient is φ = 3584000.

The previous prime is 10486921. The next prime is 10486979. The reversal of 10486960 is 6968401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14610 + ... + 15310.

Almost surely, 2^10486960 is an apocalyptic number.

10486960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10486960 is the 1870-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10486960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14101776).

10486960 is an abundant number, since it is smaller than the sum of its proper divisors (17716592).

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

10486960 is a wasteful number, since it uses less digits than its factorization.

10486960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 10486960 is about 3238.3576084182. The cubic root of 10486960 is about 218.8852703481.

It can be divided in two parts, 1048 and 6960, that added together give a palindrome (8008).

The spelling of 10486960 in words is "ten million, four hundred eighty-six thousand, nine hundred sixty".