10446240 has 96 divisors (see below), whose sum is σ = 37618560. Its totient is φ = 2386944.

The previous prime is 10446239. The next prime is 10446251. The reversal of 10446240 is 4264401.

10446240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1806 + ... + 4914.

It is an arithmetic number, because the mean of its divisors is an integer number (391860).

Almost surely, 2^10446240 is an apocalyptic number.

10446240 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 10446240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18809280).

10446240 is an abundant number, since it is smaller than the sum of its proper divisors (27172320).

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

10446240 is a wasteful number, since it uses less digits than its factorization.

10446240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3134 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 10446240 is about 3232.0643557949. The cubic root of 10446240 is about 218.6015983936.

The spelling of 10446240 in words is "ten million, four hundred forty-six thousand, two hundred forty".