10510464 has 64 divisors (see below), whose sum is σ = 28298880. Its totient is φ = 3456000.

The previous prime is 10510463. The next prime is 10510501. The reversal of 10510464 is 46401501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10510464² = 220939706990592, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10510464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10510463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38649 + ... + 38919.

It is an arithmetic number, because the mean of its divisors is an integer number (442170).

Almost surely, 2^10510464 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 10510464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14149440).

10510464 is an abundant number, since it is smaller than the sum of its proper divisors (17788416).

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

10510464 is a wasteful number, since it uses less digits than its factorization.

10510464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 10510464 is about 3241.9845773847. The cubic root of 10510464 is about 219.0486745711.

Adding to 10510464 its reverse (46401501), we get a palindrome (56911965).

The spelling of 10510464 in words is "ten million, five hundred ten thousand, four hundred sixty-four".