10255680 has 112 divisors (see below), whose sum is σ = 36210240. Its totient is φ = 2732544.

The previous prime is 10255673. The next prime is 10255681. The reversal of 10255680 is 8655201.

10255680 is a `hidden beast` number, since 102 + 556 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10255681) 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, 8047 + ... + 9233.

Almost surely, 2^10255680 is an apocalyptic number.

10255680 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 10255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18105120).

10255680 is an abundant number, since it is smaller than the sum of its proper divisors (25954560).

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

10255680 is a wasteful number, since it uses less digits than its factorization.

10255680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 10255680 is about 3202.4490628268. The cubic root of 10255680 is about 217.2641915211.

The spelling of 10255680 in words is "ten million, two hundred fifty-five thousand, six hundred eighty".