10219664 has 40 divisors (see below), whose sum is σ = 24373440. Its totient is φ = 4042368.

The previous prime is 10219661. The next prime is 10219667. The reversal of 10219664 is 46691201.

It is an interprime number because it is at equal distance from previous prime (10219661) and next prime (10219667).

It is not an unprimeable number, because it can be changed into a prime (10219661) 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, 2054 + ... + 4965.

It is an arithmetic number, because the mean of its divisors is an integer number (609336).

Almost surely, 2^10219664 is an apocalyptic number.

10219664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10219664 is an abundant number, since it is smaller than the sum of its proper divisors (14153776).

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

10219664 is a wasteful number, since it uses less digits than its factorization.

10219664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7047 (or 7041 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 10219664 is about 3196.8209208525. The cubic root of 10219664 is about 217.0095630293.

The spelling of 10219664 in words is "ten million, two hundred nineteen thousand, six hundred sixty-four".