10170480 has 80 divisors (see below), whose sum is σ = 32569344. Its totient is φ = 2622720.

The previous prime is 10170451. The next prime is 10170481. The reversal of 10170480 is 8407101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10170481) 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, 6757 + ... + 8123.

Almost surely, 2^10170480 is an apocalyptic number.

10170480 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 10170480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16284672).

10170480 is an abundant number, since it is smaller than the sum of its proper divisors (22398864).

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

10170480 is a wasteful number, since it uses less digits than its factorization.

10170480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 10170480 is about 3189.1190006019. The cubic root of 10170480 is about 216.6608703249.

Adding to 10170480 its reverse (8407101), we get a palindrome (18577581).

The spelling of 10170480 in words is "ten million, one hundred seventy thousand, four hundred eighty".