10172064 has 48 divisors (see below), whose sum is σ = 30518208. Its totient is φ = 2906112.

The previous prime is 10172053. The next prime is 10172093. The reversal of 10172064 is 46027101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10172064.

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 7 ways as a sum of consecutive naturals, for example, 6897 + ... + 8240.

It is an arithmetic number, because the mean of its divisors is an integer number (635796).

Almost surely, 2^10172064 is an apocalyptic number.

10172064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10172064 is an abundant number, since it is smaller than the sum of its proper divisors (20346144).

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

10172064 is a wasteful number, since it uses less digits than its factorization.

10172064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15157 (or 15149 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 10172064 is about 3189.3673353817. The cubic root of 10172064 is about 216.6721176801.

Adding to 10172064 its reverse (46027101), we get a palindrome (56199165).

It can be divided in two parts, 1017 and 2064, that added together give a triangular number (3081 = T₇₈).

The spelling of 10172064 in words is "ten million, one hundred seventy-two thousand, sixty-four".