10445840 has 40 divisors (see below), whose sum is σ = 24950040. Its totient is φ = 4064256.

The previous prime is 10445821. The next prime is 10445849. The reversal of 10445840 is 4854401.

10445840 = T₁₈₉ + T₁₉₀ + ... + T₄₁₀.

It can be written as a sum of positive squares in 4 ways, for example, as 984064 + 9461776 = 992^2 + 3076^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (10445849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1196 + ... + 4724.

It is an arithmetic number, because the mean of its divisors is an integer number (623751).

Almost surely, 2^10445840 is an apocalyptic number.

10445840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10445840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12475020).

10445840 is an abundant number, since it is smaller than the sum of its proper divisors (14504200).

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

10445840 is a wasteful number, since it uses less digits than its factorization.

10445840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3579 (or 3573 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 10445840 is about 3232.0024752466. The cubic root of 10445840 is about 218.5988081790.

The spelling of 10445840 in words is "ten million, four hundred forty-five thousand, eight hundred forty".