1149792 has 96 divisors (see below), whose sum is σ = 3628800. Its totient is φ = 311808.

The previous prime is 1149779. The next prime is 1149803. The reversal of 1149792 is 2979411.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (4536) is a multiple of the sum of its prime factors (108).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19459 + ... + 19517.

It is an arithmetic number, because the mean of its divisors is an integer number (37800).

2^1149792 is an apocalyptic number.

1149792 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 1149792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814400).

1149792 is an abundant number, since it is smaller than the sum of its proper divisors (2479008).

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

1149792 is a wasteful number, since it uses less digits than its factorization.

1149792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 100 counting only the distinct ones).

The product of its digits is 4536, while the sum is 33.

The square root of 1149792 is about 1072.2835445907. The cubic root of 1149792 is about 104.7626384312.

The spelling of 1149792 in words is "one million, one hundred forty-nine thousand, seven hundred ninety-two".