10461360 has 160 divisors (see below), whose sum is σ = 39997440. Its totient is φ = 2202624.

The previous prime is 10461359. The next prime is 10461361. The reversal of 10461360 is 6316401.

10461360 = 28² + 29² + ... + 315².

It is an interprime number because it is at equal distance from previous prime (10461359) and next prime (10461361).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10461361) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 21601 + ... + 22079.

It is an arithmetic number, because the mean of its divisors is an integer number (249984).

Almost surely, 2^10461360 is an apocalyptic number.

10461360 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 10461360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998720).

10461360 is an abundant number, since it is smaller than the sum of its proper divisors (29536080).

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

10461360 is a wasteful number, since it uses less digits than its factorization.

10461360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 10461360 is about 3234.4025723462. The cubic root of 10461360 is about 218.7070163163.

Adding to 10461360 its reverse (6316401), we get a palindrome (16777761).

The spelling of 10461360 in words is "ten million, four hundred sixty-one thousand, three hundred sixty".