10046160 has 80 divisors (see below), whose sum is σ = 34610880. Its totient is φ = 2678400.

The previous prime is 10046149. The next prime is 10046161. The reversal of 10046160 is 6164001.

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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10046161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166 + ... + 4485.

It is an arithmetic number, because the mean of its divisors is an integer number (432636).

Almost surely, 2^10046160 is an apocalyptic number.

10046160 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 10046160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17305440).

10046160 is an abundant number, since it is smaller than the sum of its proper divisors (24564720).

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

10046160 is a wasteful number, since it uses less digits than its factorization.

10046160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4673 (or 4661 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10046160 is about 3169.5677938798. The cubic root of 10046160 is about 215.7744559301.

The spelling of 10046160 in words is "ten million, forty-six thousand, one hundred sixty".