10055864 has 64 divisors (see below), whose sum is σ = 24460800. Its totient is φ = 3763584.

The previous prime is 10055827. The next prime is 10055867. The reversal of 10055864 is 46855001.

It is a happy number.

It is a super-2 number, since 2×10055864² = 202240801572992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10055867) 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 15 ways as a sum of consecutive naturals, for example, 13469 + ... + 14195.

It is an arithmetic number, because the mean of its divisors is an integer number (382200).

Almost surely, 2^10055864 is an apocalyptic number.

10055864 is a gapful number since it is divisible by the number (14) 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 10055864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12230400).

10055864 is an abundant number, since it is smaller than the sum of its proper divisors (14404936).

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

10055864 is a wasteful number, since it uses less digits than its factorization.

10055864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 10055864 is about 3171.0982324740. The cubic root of 10055864 is about 215.8439087192.

The spelling of 10055864 in words is "ten million, fifty-five thousand, eight hundred sixty-four".