10612320 has 48 divisors (see below), whose sum is σ = 33430320. Its totient is φ = 2829824.

The previous prime is 10612291. The next prime is 10612321. The reversal of 10612320 is 2321601.

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

It is a super-2 number, since 2×10612320² = 225242671564800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10612320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10612321) 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 7 ways as a sum of consecutive naturals, for example, 10575 + ... + 11534.

It is an arithmetic number, because the mean of its divisors is an integer number (696465).

Almost surely, 2^10612320 is an apocalyptic number.

10612320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10612320 is an abundant number, since it is smaller than the sum of its proper divisors (22818000).

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

10612320 is a wasteful number, since it uses less digits than its factorization.

10612320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22127 (or 22119 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 10612320 is about 3257.6555987397. The cubic root of 10612320 is about 219.7539949911.

Adding to 10612320 its reverse (2321601), we get a palindrome (12933921).

The spelling of 10612320 in words is "ten million, six hundred twelve thousand, three hundred twenty".