10657540 has 36 divisors (see below), whose sum is σ = 23012388. Its totient is φ = 4145920.

The previous prime is 10657531. The next prime is 10657541. The reversal of 10657540 is 4575601.

It can be written as a sum of positive squares in 6 ways, for example, as 6625476 + 4032064 = 2574^2 + 2008^2 .

It is a super-2 number, since 2×10657540² = 227166317703200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10657499 and 10657508.

It is not an unprimeable number, because it can be changed into a prime (10657541) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33462 + ... + 33778.

It is an arithmetic number, because the mean of its divisors is an integer number (639233).

Almost surely, 2^10657540 is an apocalyptic number.

10657540 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 10657540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11506194).

10657540 is an abundant number, since it is smaller than the sum of its proper divisors (12354848).

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

10657540 is a wasteful number, since it uses less digits than its factorization.

10657540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 10657540 is about 3264.5887949327. The cubic root of 10657540 is about 220.0656828672.

The spelling of 10657540 in words is "ten million, six hundred fifty-seven thousand, five hundred forty".