10620064 has 72 divisors (see below), whose sum is σ = 26243028. Its totient is φ = 4193280.

The previous prime is 10620041. The next prime is 10620067. The reversal of 10620064 is 46002601.

It can be written as a sum of positive squares in 2 ways, for example, as 9659664 + 960400 = 3108^2 + 980^2 .

It is a super-2 number, since 2×10620064² = 225571518728192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10620067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20124 + ... + 20644.

Almost surely, 2^10620064 is an apocalyptic number.

10620064 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 10620064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13121514).

10620064 is an abundant number, since it is smaller than the sum of its proper divisors (15622964).

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

10620064 is a wasteful number, since it uses less digits than its factorization.

10620064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 10620064 is about 3258.8439668079. The cubic root of 10620064 is about 219.8074348033.

Adding to 10620064 its reverse (46002601), we get a palindrome (56622665).

The spelling of 10620064 in words is "ten million, six hundred twenty thousand, sixty-four".