10260432 has 240 divisors, whose sum is σ = 37914240. Its totient is φ = 2612736.

The previous prime is 10260413. The next prime is 10260449. The reversal of 10260432 is 23406201.

It is a happy number.

10260432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 353794 + ... + 353822.

It is an arithmetic number, because the mean of its divisors is an integer number (157976).

Almost surely, 2^10260432 is an apocalyptic number.

10260432 is a gapful number since it is divisible by the number (12) 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 10260432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18957120).

10260432 is an abundant number, since it is smaller than the sum of its proper divisors (27653808).

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

10260432 is a wasteful number, since it uses less digits than its factorization.

10260432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 10260432 is about 3203.1909090780. The cubic root of 10260432 is about 217.2977430105.

Adding to 10260432 its reverse (23406201), we get a palindrome (33666633).

The spelling of 10260432 in words is "ten million, two hundred sixty thousand, four hundred thirty-two".