10464080 has 120 divisors (see below), whose sum is σ = 28498176. Its totient is φ = 3562240.

The previous prime is 10464071. The next prime is 10464107. The reversal of 10464080 is 8046401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 222617 + ... + 222663.

Almost surely, 2^10464080 is an apocalyptic number.

10464080 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 10464080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14249088).

10464080 is an abundant number, since it is smaller than the sum of its proper divisors (18034096).

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

10464080 is a wasteful number, since it uses less digits than its factorization.

10464080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 10464080 is about 3234.8230245255. The cubic root of 10464080 is about 218.7259696052.

The spelling of 10464080 in words is "ten million, four hundred sixty-four thousand, eighty".