10180464 has 80 divisors (see below), whose sum is σ = 30831360. Its totient is φ = 2833920.

The previous prime is 10180463. The next prime is 10180481. The reversal of 10180464 is 46408101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10180463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13407 + ... + 14145.

It is an arithmetic number, because the mean of its divisors is an integer number (385392).

Almost surely, 2^10180464 is an apocalyptic number.

10180464 is a gapful number since it is divisible by the number (14) 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 10180464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15415680).

10180464 is an abundant number, since it is smaller than the sum of its proper divisors (20650896).

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

10180464 is a wasteful number, since it uses less digits than its factorization.

10180464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 10180464 is about 3190.6839392206. The cubic root of 10180464 is about 216.7317432397.

Adding to 10180464 its reverse (46408101), we get a palindrome (56588565).

The spelling of 10180464 in words is "ten million, one hundred eighty thousand, four hundred sixty-four".