10456224 has 96 divisors (see below), whose sum is σ = 29937600. Its totient is φ = 3182592.

The previous prime is 10456219. The next prime is 10456249. The reversal of 10456224 is 42265401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10456194 and 10456203.

It is an unprimeable number.

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, 70102 + ... + 70250.

It is an arithmetic number, because the mean of its divisors is an integer number (311850).

Almost surely, 2^10456224 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 10456224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14968800).

10456224 is an abundant number, since it is smaller than the sum of its proper divisors (19481376).

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

10456224 is a wasteful number, since it uses less digits than its factorization.

10456224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 10456224 is about 3233.6085106271. The cubic root of 10456224 is about 218.6712190869.

The spelling of 10456224 in words is "ten million, four hundred fifty-six thousand, two hundred twenty-four".