10088064 has 160 divisors (see below), whose sum is σ = 34557600. Its totient is φ = 2861568.

The previous prime is 10088041. The next prime is 10088077. The reversal of 10088064 is 46088001.

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

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 19 ways as a sum of consecutive naturals, for example, 72507 + ... + 72645.

It is an arithmetic number, because the mean of its divisors is an integer number (215985).

Almost surely, 2^10088064 is an apocalyptic number.

10088064 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 10088064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17278800).

10088064 is an abundant number, since it is smaller than the sum of its proper divisors (24469536).

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

10088064 is an equidigital number, since it uses as much as digits as its factorization.

10088064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10088064 is about 3176.1712800162. The cubic root of 10088064 is about 216.0740486860.

The spelling of 10088064 in words is "ten million, eighty-eight thousand, sixty-four".