1101792 has 48 divisors (see below), whose sum is σ = 3024000. Its totient is φ = 350592.

The previous prime is 1101781. The next prime is 1101803. The reversal of 1101792 is 2971011.

It is an interprime number because it is at equal distance from previous prime (1101781) and next prime (1101803).

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

It is a super-2 number, since 2×1101792² = 2427891222528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1959 + ... + 2457.

It is an arithmetic number, because the mean of its divisors is an integer number (63000).

2^1101792 is an apocalyptic number.

1101792 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 1101792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512000).

1101792 is an abundant number, since it is smaller than the sum of its proper divisors (1922208).

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

1101792 is a wasteful number, since it uses less digits than its factorization.

1101792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 21.

The square root of 1101792 is about 1049.6628029991. The cubic root of 1101792 is about 103.2840370715.

The spelling of 1101792 in words is "one million, one hundred one thousand, seven hundred ninety-two".