10455840 has 144 divisors (see below), whose sum is σ = 36619128. Its totient is φ = 2715648.

The previous prime is 10455829. The next prime is 10455857. The reversal of 10455840 is 4855401.

10455840 is a `hidden beast` number, since 104 + 558 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9511056 + 944784 = 3084^2 + 972^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 76252 + ... + 76388.

Almost surely, 2^10455840 is an apocalyptic number.

10455840 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 10455840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18309564).

10455840 is an abundant number, since it is smaller than the sum of its proper divisors (26163288).

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

10455840 is a wasteful number, since it uses less digits than its factorization.

10455840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 10455840 is about 3233.5491336920. The cubic root of 10455840 is about 218.6685421876.

The spelling of 10455840 in words is "ten million, four hundred fifty-five thousand, eight hundred forty".