10470160 has 40 divisors (see below), whose sum is σ = 25188120. Its totient is φ = 4042752.

The previous prime is 10470139. The next prime is 10470179. The reversal of 10470160 is 6107401.

10470160 = 303² + 304² + ... + 389².

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24336 + 10445824 = 156^2 + 3232^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64 + ... + 4576.

It is an arithmetic number, because the mean of its divisors is an integer number (629703).

Almost surely, 2^10470160 is an apocalyptic number.

10470160 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 10470160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12594060).

10470160 is an abundant number, since it is smaller than the sum of its proper divisors (14717960).

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

10470160 is a wasteful number, since it uses less digits than its factorization.

10470160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4555 (or 4549 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 10470160 is about 3235.7626612593. The cubic root of 10470160 is about 218.7683239072.

Adding to 10470160 its reverse (6107401), we get a palindrome (16577561).

The spelling of 10470160 in words is "ten million, four hundred seventy thousand, one hundred sixty".