10261440 has 168 divisors, whose sum is σ = 40416480. Its totient is φ = 2340864.

The previous prime is 10261423. The next prime is 10261451. The reversal of 10261440 is 4416201.

10261440 is a `hidden beast` number, since 10 + 2 + 614 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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 23 ways as a sum of consecutive naturals, for example, 19906 + ... + 20414.

Almost surely, 2^10261440 is an apocalyptic number.

10261440 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 10261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20208240).

10261440 is an abundant number, since it is smaller than the sum of its proper divisors (30155040).

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

10261440 is a wasteful number, since it uses less digits than its factorization.

10261440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10261440 is about 3203.3482483177. The cubic root of 10261440 is about 217.3048586613.

Adding to 10261440 its reverse (4416201), we get a palindrome (14677641).

It can be divided in two parts, 10261 and 440, that added together give a palindrome (10701).

The spelling of 10261440 in words is "ten million, two hundred sixty-one thousand, four hundred forty".