10538640 has 320 divisors, whose sum is σ = 44997120. Its totient is φ = 2211840.

The previous prime is 10538617. The next prime is 10538663. The reversal of 10538640 is 4683501.

10538640 = T₂₈₀ + T₂₈₁ + ... + T₄₃₉.

10538640 is a `hidden beast` number, since 10 + 5 + 3 + 8 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (10538617) and next prime (10538663).

It is a super-2 number, since 2×10538640² = 222125866099200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 257020 + ... + 257060.

It is an arithmetic number, because the mean of its divisors is an integer number (140616).

Almost surely, 2^10538640 is an apocalyptic number.

10538640 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 10538640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22498560).

10538640 is an abundant number, since it is smaller than the sum of its proper divisors (34458480).

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

10538640 is a wasteful number, since it uses less digits than its factorization.

10538640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10538640 is about 3246.3271554173. The cubic root of 10538640 is about 219.2442386781.

The spelling of 10538640 in words is "ten million, five hundred thirty-eight thousand, six hundred forty".