10055808 has 192 divisors, whose sum is σ = 35006400. Its totient is φ = 2709504.

The previous prime is 10055777. The next prime is 10055819. The reversal of 10055808 is 80855001.

10055808 is a `hidden beast` number, since 100 + 558 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10055808² = 202238549065728, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233835 + ... + 233877.

It is an arithmetic number, because the mean of its divisors is an integer number (182325).

Almost surely, 2^10055808 is an apocalyptic number.

10055808 is a gapful number since it is divisible by the number (18) 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 10055808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17503200).

10055808 is an abundant number, since it is smaller than the sum of its proper divisors (24950592).

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

10055808 is a wasteful number, since it uses less digits than its factorization.

10055808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 10055808 is about 3171.0894027132. The cubic root of 10055808 is about 215.8435080482.

The spelling of 10055808 in words is "ten million, fifty-five thousand, eight hundred eight".