10242320 has 80 divisors (see below), whose sum is σ = 26462592. Its totient is φ = 3655680.

The previous prime is 10242319. The next prime is 10242329. The reversal of 10242320 is 2324201.

10242320 = T₅₆ + T₅₇ + ... + T₃₉₄.

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

It is a junction number, because it is equal to n+sod(n) for n = 10242295 and 10242304.

It is not an unprimeable number, because it can be changed into a prime (10242329) 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, 90584 + ... + 90696.

Almost surely, 2^10242320 is an apocalyptic number.

10242320 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 10242320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13231296).

10242320 is an abundant number, since it is smaller than the sum of its proper divisors (16220272).

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

10242320 is a wasteful number, since it uses less digits than its factorization.

10242320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 10242320 is about 3200.3624794701. The cubic root of 10242320 is about 217.1698076957.

Adding to 10242320 its reverse (2324201), we get a palindrome (12566521).

The spelling of 10242320 in words is "ten million, two hundred forty-two thousand, three hundred twenty".