10486080 has 168 divisors, whose sum is σ = 39465504. Its totient is φ = 2534400.

The previous prime is 10486079. The next prime is 10486111. The reversal of 10486080 is 8068401.

10486080 is a `hidden beast` number, since 10 + 48 + 608 + 0 = 666.

It is a zygodrome in base 4.

It is a congruent number.

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, 31515 + ... + 31845.

Almost surely, 2^10486080 is an apocalyptic number.

10486080 is a gapful number since it is divisible by the number (10) 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 10486080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19732752).

10486080 is an abundant number, since it is smaller than the sum of its proper divisors (28979424).

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

10486080 is a wasteful number, since it uses less digits than its factorization.

10486080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10486080 is about 3238.2217342239. The cubic root of 10486080 is about 218.8791476831.

The spelling of 10486080 in words is "ten million, four hundred eighty-six thousand, eighty".