10526464 has 36 divisors (see below), whose sum is σ = 22635256. Its totient is φ = 4856832.

The previous prime is 10526459. The next prime is 10526501. The reversal of 10526464 is 46462501.

It is a super-2 number, since 2×10526464² = 221612888686592, which contains 22 as substring.

It is a congruent number.

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, 1747 + ... + 4909.

Almost surely, 2^10526464 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 10526464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11317628).

10526464 is an abundant number, since it is smaller than the sum of its proper divisors (12108792).

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

10526464 is an equidigital number, since it uses as much as digits as its factorization.

10526464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3192 (or 3178 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 10526464 is about 3244.4512633109. The cubic root of 10526464 is about 219.1597702646.

Adding to 10526464 its reverse (46462501), we get a palindrome (56988965).

It can be divided in two parts, 105 and 26464, that added together give a square (26569 = 163²).

The spelling of 10526464 in words is "ten million, five hundred twenty-six thousand, four hundred sixty-four".