10218240 has 108 divisors (see below), whose sum is σ = 35393904. Its totient is φ = 2721792.

The previous prime is 10218239. The next prime is 10218259. The reversal of 10218240 is 4281201.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 11077 + ... + 11963.

Almost surely, 2^10218240 is an apocalyptic number.

10218240 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 10218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17696952).

10218240 is an abundant number, since it is smaller than the sum of its proper divisors (25175664).

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

10218240 is an equidigital number, since it uses as much as digits as its factorization.

10218240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 10218240 is about 3196.5981918283. The cubic root of 10218240 is about 216.9994832468. Note that the first 3 decimals are identical.

Adding to 10218240 its reverse (4281201), we get a palindrome (14499441).

It can be divided in two parts, 1021 and 8240, that added together give a cube (9261 = 21³).

The spelling of 10218240 in words is "ten million, two hundred eighteen thousand, two hundred forty".