10193792 has 64 divisors (see below), whose sum is σ = 24023040. Its totient is φ = 4216320.

The previous prime is 10193791. The next prime is 10193797. The reversal of 10193792 is 29739101.

It is a happy number.

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 (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10193791) 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, 27593 + ... + 27959.

It is an arithmetic number, because the mean of its divisors is an integer number (375360).

Almost surely, 2^10193792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10193792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12011520).

10193792 is an abundant number, since it is smaller than the sum of its proper divisors (13829248).

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

10193792 is an equidigital number, since it uses as much as digits as its factorization.

10193792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 32.

The square root of 10193792 is about 3192.7718365082. The cubic root of 10193792 is about 216.8262818590.

The spelling of 10193792 in words is "ten million, one hundred ninety-three thousand, seven hundred ninety-two".