10727640 has 320 divisors, whose sum is σ = 45999360. Its totient is φ = 2177280.

The previous prime is 10727627. The next prime is 10727641. The reversal of 10727640 is 4672701.

10727640 is a `hidden beast` number, since 10 + 7 + 2 + 7 + 640 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10727641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 249459 + ... + 249501.

It is an arithmetic number, because the mean of its divisors is an integer number (143748).

Almost surely, 2^10727640 is an apocalyptic number.

10727640 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 10727640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22999680).

10727640 is an abundant number, since it is smaller than the sum of its proper divisors (35271720).

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

10727640 is a wasteful number, since it uses less digits than its factorization.

10727640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 10727640 is about 3275.3076191405. The cubic root of 10727640 is about 220.5471230676.

The spelling of 10727640 in words is "ten million, seven hundred twenty-seven thousand, six hundred forty".