10958040 has 96 divisors (see below), whose sum is σ = 36270000. Its totient is φ = 2868480.

The previous prime is 10958023. The next prime is 10958063. The reversal of 10958040 is 4085901.

10958040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10957995 and 10958013.

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, 21711 + ... + 22209.

Almost surely, 2^10958040 is an apocalyptic number.

10958040 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 10958040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18135000).

10958040 is an abundant number, since it is smaller than the sum of its proper divisors (25311960).

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

10958040 is a wasteful number, since it uses less digits than its factorization.

10958040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10958040 is about 3310.2930383880. The cubic root of 10958040 is about 222.1148662927.

The spelling of 10958040 in words is "ten million, nine hundred fifty-eight thousand, forty".