10164192 has 48 divisors (see below), whose sum is σ = 26853120. Its totient is φ = 3366272.

The previous prime is 10164179. The next prime is 10164199. The reversal of 10164192 is 29146101.

10164192 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10164199) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22723 + ... + 23165.

It is an arithmetic number, because the mean of its divisors is an integer number (559440).

Almost surely, 2^10164192 is an apocalyptic number.

10164192 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 10164192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13426560).

10164192 is an abundant number, since it is smaller than the sum of its proper divisors (16688928).

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

10164192 is a wasteful number, since it uses less digits than its factorization.

10164192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 10164192 is about 3188.1329959712. The cubic root of 10164192 is about 216.6162102101.

The spelling of 10164192 in words is "ten million, one hundred sixty-four thousand, one hundred ninety-two".