10264608 has 72 divisors (see below), whose sum is σ = 30221100. Its totient is φ = 3300864.

The previous prime is 10264591. The next prime is 10264613. The reversal of 10264608 is 80646201.

10264608 is a `hidden beast` number, since 10 + 2 + 646 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9072144 + 1192464 = 3012^2 + 1092^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

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, 7738 + ... + 8966.

Almost surely, 2^10264608 is an apocalyptic number.

10264608 is a gapful number since it is divisible by the number (18) 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 10264608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15110550).

10264608 is an abundant number, since it is smaller than the sum of its proper divisors (19956492).

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

10264608 is a wasteful number, since it uses less digits than its factorization.

10264608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 10264608 is about 3203.8426927675. The cubic root of 10264608 is about 217.3272191019.

The spelling of 10264608 in words is "ten million, two hundred sixty-four thousand, six hundred eight".