10235760 has 40 divisors (see below), whose sum is σ = 31731600. Its totient is φ = 2729472.

The previous prime is 10235749. The next prime is 10235761. The reversal of 10235760 is 6753201.

10235760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10235760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10235761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21085 + ... + 21564.

It is an arithmetic number, because the mean of its divisors is an integer number (793290).

Almost surely, 2^10235760 is an apocalyptic number.

10235760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10235760 is an abundant number, since it is smaller than the sum of its proper divisors (21495840).

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

10235760 is a wasteful number, since it uses less digits than its factorization.

10235760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42665 (or 42659 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 10235760 is about 3199.3374314067. The cubic root of 10235760 is about 217.1234334954.

Adding to 10235760 its reverse (6753201), we get a palindrome (16988961).

The spelling of 10235760 in words is "ten million, two hundred thirty-five thousand, seven hundred sixty".