10857040 has 40 divisors (see below), whose sum is σ = 25487208. Its totient is φ = 4300800.

The previous prime is 10857029. The next prime is 10857059. The reversal of 10857040 is 4075801.

It can be written as a sum of positive squares in 4 ways, for example, as 1468944 + 9388096 = 1212^2 + 3064^2 .

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

It is a super-3 number, since 3×10857040³ (a number of 22 digits) contains 333 as substring.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 10856996 and 10857014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8440 + ... + 9640.

Almost surely, 2^10857040 is an apocalyptic number.

10857040 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 10857040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12743604).

10857040 is an abundant number, since it is smaller than the sum of its proper divisors (14630168).

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

10857040 is a wasteful number, since it uses less digits than its factorization.

10857040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 10857040 is about 3295.0022761752. The cubic root of 10857040 is about 221.4303497206.

The spelling of 10857040 in words is "ten million, eight hundred fifty-seven thousand, forty".