10945824 has 96 divisors (see below), whose sum is σ = 32114880. Its totient is φ = 3244032.

The previous prime is 10945819. The next prime is 10945829. The reversal of 10945824 is 42854901.

It is an interprime number because it is at equal distance from previous prime (10945819) and next prime (10945829).

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

It is a super-2 number, since 2×10945824² = 239622126077952, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10945829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30832 + ... + 31184.

It is an arithmetic number, because the mean of its divisors is an integer number (334530).

Almost surely, 2^10945824 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 10945824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16057440).

10945824 is an abundant number, since it is smaller than the sum of its proper divisors (21169056).

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

10945824 is a wasteful number, since it uses less digits than its factorization.

10945824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 10945824 is about 3308.4473699909. The cubic root of 10945824 is about 222.0322978737.

The spelling of 10945824 in words is "ten million, nine hundred forty-five thousand, eight hundred twenty-four".