10464000 has 144 divisors (see below), whose sum is σ = 35075040. Its totient is φ = 2764800.

The previous prime is 10463989. The next prime is 10464029. The reversal of 10464000 is 46401.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 95946 + ... + 96054.

Almost surely, 2^10464000 is an apocalyptic number.

10464000 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 10464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17537520).

10464000 is an abundant number, since it is smaller than the sum of its proper divisors (24611040).

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

10464000 is an equidigital number, since it uses as much as digits as its factorization.

10464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 10464000 is about 3234.8106590649. The cubic root of 10464000 is about 218.7254122024.

The spelling of 10464000 in words is "ten million, four hundred sixty-four thousand".