10610040 has 128 divisors (see below), whose sum is σ = 38568960. Its totient is φ = 2279424.

The previous prime is 10610003. The next prime is 10610051. The reversal of 10610040 is 4001601.

10610040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10610040² = 225145897603200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10609998 and 10610025.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13909 + ... + 14651.

It is an arithmetic number, because the mean of its divisors is an integer number (301320).

Almost surely, 2^10610040 is an apocalyptic number.

10610040 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 10610040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19284480).

10610040 is an abundant number, since it is smaller than the sum of its proper divisors (27958920).

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

10610040 is a wasteful number, since it uses less digits than its factorization.

10610040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10610040 is about 3257.3056350303. The cubic root of 10610040 is about 219.7382562084.

Adding to 10610040 its reverse (4001601), we get a palindrome (14611641).

The spelling of 10610040 in words is "ten million, six hundred ten thousand, forty".