10461824 has 48 divisors (see below), whose sum is σ = 21870330. Its totient is φ = 4981248.

The previous prime is 10461823. The next prime is 10461827. The reversal of 10461824 is 42816401.

It can be written as a sum of positive squares in only one way, i.e., 6927424 + 3534400 = 2632^2 + 1880^2 .

It is a super-2 number, since 2×10461824² = 218899522813952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10461793 and 10461802.

It is not an unprimeable number, because it can be changed into a prime (10461823) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 222569 + ... + 222615.

Almost surely, 2^10461824 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 10461824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10935165).

10461824 is an abundant number, since it is smaller than the sum of its proper divisors (11408506).

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

10461824 is an frugal number, since it uses more digits than its factorization.

10461824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 10461824 is about 3234.4743004080. The cubic root of 10461824 is about 218.7102497568.

The spelling of 10461824 in words is "ten million, four hundred sixty-one thousand, eight hundred twenty-four".