10219638 has 64 divisors (see below), whose sum is σ = 24659712. Its totient is φ = 2782080.

The previous prime is 10219637. The next prime is 10219639. The reversal of 10219638 is 83691201.

It is an interprime number because it is at equal distance from previous prime (10219637) and next prime (10219639).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10219637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36756 + ... + 37032.

It is an arithmetic number, because the mean of its divisors is an integer number (385308).

Almost surely, 2^10219638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10219638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12329856).

10219638 is an abundant number, since it is smaller than the sum of its proper divisors (14440074).

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

10219638 is a wasteful number, since it uses less digits than its factorization.

10219638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 10219638 is about 3196.8168543099. The cubic root of 10219638 is about 217.0093789967.

The spelling of 10219638 in words is "ten million, two hundred nineteen thousand, six hundred thirty-eight".