10455660 has 72 divisors (see below), whose sum is σ = 32825520. Its totient is φ = 2690688.

The previous prime is 10455647. The next prime is 10455661. The reversal of 10455660 is 6655401.

It is a happy number.

10455660 is a `hidden beast` number, since 104 + 556 + 6 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (10455661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4219 + ... + 6221.

It is an arithmetic number, because the mean of its divisors is an integer number (455910).

Almost surely, 2^10455660 is an apocalyptic number.

10455660 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 10455660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16412760).

10455660 is an abundant number, since it is smaller than the sum of its proper divisors (22369860).

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

10455660 is a wasteful number, since it uses less digits than its factorization.

10455660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 10455660 is about 3233.5213003783. The cubic root of 10455660 is about 218.6672873685.

The spelling of 10455660 in words is "ten million, four hundred fifty-five thousand, six hundred sixty".