10265420 has 48 divisors (see below), whose sum is σ = 24343200. Its totient is φ = 3601920.

The previous prime is 10265389. The next prime is 10265441. The reversal of 10265420 is 2456201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10265392 and 10265401.

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 15 ways as a sum of consecutive naturals, for example, 5576 + ... + 7184.

It is an arithmetic number, because the mean of its divisors is an integer number (507150).

Almost surely, 2^10265420 is an apocalyptic number.

10265420 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 10265420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12171600).

10265420 is an abundant number, since it is smaller than the sum of its proper divisors (14077780).

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

10265420 is a wasteful number, since it uses less digits than its factorization.

10265420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 10265420 is about 3203.9694130875. The cubic root of 10265420 is about 217.3329496357.

It can be divided in two parts, 1026 and 5420, that added together give a palindrome (6446).

The spelling of 10265420 in words is "ten million, two hundred sixty-five thousand, four hundred twenty".