10055760 has 160 divisors (see below), whose sum is σ = 36747648. Its totient is φ = 2242560.

The previous prime is 10055741. The next prime is 10055777. The reversal of 10055760 is 6755001.

10055760 = T₁₀₉ + T₁₁₀ + ... + T₃₉₄.

It is a super-2 number, since 2×10055760² = 202236618355200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10055760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34174 + ... + 34466.

Almost surely, 2^10055760 is an apocalyptic number.

10055760 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 10055760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18373824).

10055760 is an abundant number, since it is smaller than the sum of its proper divisors (26691888).

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

10055760 is a wasteful number, since it uses less digits than its factorization.

10055760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 10055760 is about 3171.0818343272. The cubic root of 10055760 is about 215.8431646146.

The spelling of 10055760 in words is "ten million, fifty-five thousand, seven hundred sixty".