10401792 has 48 divisors (see below), whose sum is σ = 27747720. Its totient is φ = 3465216.

The previous prime is 10401757. The next prime is 10401799. The reversal of 10401792 is 29710401.

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

It is a super-2 number, since 2×10401792² = 216394553622528, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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 (10401799) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5298 + ... + 6990.

Almost surely, 2^10401792 is an apocalyptic number.

10401792 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 10401792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13873860).

10401792 is an abundant number, since it is smaller than the sum of its proper divisors (17345928).

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

10401792 is an equidigital number, since it uses as much as digits as its factorization.

10401792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 10401792 is about 3225.1809251575. The cubic root of 10401792 is about 218.2911129182.

The spelling of 10401792 in words is "ten million, four hundred one thousand, seven hundred ninety-two".