10457640 has 128 divisors (see below), whose sum is σ = 36460800. Its totient is φ = 2661120.

The previous prime is 10457639. The next prime is 10457647. The reversal of 10457640 is 4675401.

10457640 is a `hidden beast` number, since 10 + 4 + 5 + 7 + 640 = 666.

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

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (10457647) 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 31 ways as a sum of consecutive naturals, for example, 24630 + ... + 25050.

It is an arithmetic number, because the mean of its divisors is an integer number (284850).

Almost surely, 2^10457640 is an apocalyptic number.

10457640 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 10457640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18230400).

10457640 is an abundant number, since it is smaller than the sum of its proper divisors (26003160).

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

10457640 is a wasteful number, since it uses less digits than its factorization.

10457640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 10457640 is about 3233.8274536530. The cubic root of 10457640 is about 218.6810895867.

The spelling of 10457640 in words is "ten million, four hundred fifty-seven thousand, six hundred forty".