10390464 has 112 divisors (see below), whose sum is σ = 34950400. Its totient is φ = 2965248.

The previous prime is 10390459. The next prime is 10390469. The reversal of 10390464 is 46409301.

It is an interprime number because it is at equal distance from previous prime (10390459) and next prime (10390469).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10390469) 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 15 ways as a sum of consecutive naturals, for example, 11667 + ... + 12525.

Almost surely, 2^10390464 is an apocalyptic number.

10390464 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 10390464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17475200).

10390464 is an abundant number, since it is smaller than the sum of its proper divisors (24559936).

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

10390464 is an equidigital number, since it uses as much as digits as its factorization.

10390464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 10390464 is about 3223.4242662113. The cubic root of 10390464 is about 218.2118413230.

Adding to 10390464 its reverse (46409301), we get a palindrome (56799765).

The spelling of 10390464 in words is "ten million, three hundred ninety thousand, four hundred sixty-four".