10496160 has 144 divisors (see below), whose sum is σ = 36972936. Its totient is φ = 2709504.

The previous prime is 10496149. The next prime is 10496179. The reversal of 10496160 is 6169401.

10496160 is a `hidden beast` number, since 1 + 0 + 49 + 616 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10419984 + 76176 = 3228^2 + 276^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10496160² = 220338749491200, which contains 22 as substring.

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, 53182 + ... + 53378.

Almost surely, 2^10496160 is an apocalyptic number.

10496160 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 10496160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18486468).

10496160 is an abundant number, since it is smaller than the sum of its proper divisors (26476776).

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

10496160 is a wasteful number, since it uses less digits than its factorization.

10496160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10496160 is about 3239.7777701565. Note that the first 5 decimals coincide. The cubic root of 10496160 is about 218.9492595277.

The spelling of 10496160 in words is "ten million, four hundred ninety-six thousand, one hundred sixty".