10219392 has 64 divisors (see below), whose sum is σ = 30171600. Its totient is φ = 3405312.

The previous prime is 10219379. The next prime is 10219399. The reversal of 10219392 is 29391201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10219399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1978 + ... + 4934.

Almost surely, 2^10219392 is an apocalyptic number.

10219392 is a gapful number since it is divisible by the number (12) 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 10219392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15085800).

10219392 is an abundant number, since it is smaller than the sum of its proper divisors (19952208).

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

10219392 is an equidigital number, since it uses as much as digits as its factorization.

10219392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2980 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 10219392 is about 3196.7783783053. The cubic root of 10219392 is about 217.0076377500.

The spelling of 10219392 in words is "ten million, two hundred nineteen thousand, three hundred ninety-two".