1131792 has 80 divisors (see below), whose sum is σ = 3303360. Its totient is φ = 331776.

The previous prime is 1131787. The next prime is 1131799. The reversal of 1131792 is 2971311.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1131799) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15468 + ... + 15540.

It is an arithmetic number, because the mean of its divisors is an integer number (41292).

2^1131792 is an apocalyptic number.

1131792 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 1131792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651680).

1131792 is an abundant number, since it is smaller than the sum of its proper divisors (2171568).

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

1131792 is a wasteful number, since it uses less digits than its factorization.

1131792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 114 counting only the distinct ones).

The product of its digits is 378, while the sum is 24.

The square root of 1131792 is about 1063.8571332656. The cubic root of 1131792 is about 104.2130740064.

The spelling of 1131792 in words is "one million, one hundred thirty-one thousand, seven hundred ninety-two".