10382464 has 32 divisors (see below), whose sum is σ = 21404700. Its totient is φ = 5010432.

The previous prime is 10382447. The next prime is 10382501. The reversal of 10382464 is 46428301.

It can be written as a sum of positive squares in 2 ways, for example, as 10188864 + 193600 = 3192^2 + 440^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×10382464² = 215591117422592, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2314 + ... + 5110.

Almost surely, 2^10382464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10382464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10702350).

10382464 is an abundant number, since it is smaller than the sum of its proper divisors (11022236).

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

10382464 is an equidigital number, since it uses as much as digits as its factorization.

10382464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 2828 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 10382464 is about 3222.1831108737. The cubic root of 10382464 is about 218.1558238392.

The spelling of 10382464 in words is "ten million, three hundred eighty-two thousand, four hundred sixty-four".