10457760 has 48 divisors (see below), whose sum is σ = 32943456. Its totient is φ = 2788608.

The previous prime is 10457749. The next prime is 10457773. The reversal of 10457760 is 6775401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10414 + ... + 11373.

It is an arithmetic number, because the mean of its divisors is an integer number (686322).

Almost surely, 2^10457760 is an apocalyptic number.

10457760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10457760 is an abundant number, since it is smaller than the sum of its proper divisors (22485696).

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

10457760 is a wasteful number, since it uses less digits than its factorization.

10457760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21805 (or 21797 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 10457760 is about 3233.8460074654. The cubic root of 10457760 is about 218.6819260288.

The spelling of 10457760 in words is "ten million, four hundred fifty-seven thousand, seven hundred sixty".