10284240 has 80 divisors (see below), whose sum is σ = 32372928. Its totient is φ = 2700288.

The previous prime is 10284233. The next prime is 10284247. The reversal of 10284240 is 4248201.

10284240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10284233) and next prime (10284247).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10284247) 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, 17227 + ... + 17813.

Almost surely, 2^10284240 is an apocalyptic number.

10284240 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 10284240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16186464).

10284240 is an abundant number, since it is smaller than the sum of its proper divisors (22088688).

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

10284240 is a wasteful number, since it uses less digits than its factorization.

10284240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 10284240 is about 3206.9050500444. The cubic root of 10284240 is about 217.4656835805.

The spelling of 10284240 in words is "ten million, two hundred eighty-four thousand, two hundred forty".