1134784 has 56 divisors (see below), whose sum is σ = 2743200. Its totient is φ = 454656.

The previous prime is 1134781. The next prime is 1134787. The reversal of 1134784 is 4874311.

It is an interprime number because it is at equal distance from previous prime (1134781) and next prime (1134787).

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134781) 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, 7542 + ... + 7690.

2^1134784 is an apocalyptic number.

1134784 is a gapful number since it is divisible by the number (14) 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 1134784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371600).

1134784 is an abundant number, since it is smaller than the sum of its proper divisors (1608416).

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

1134784 is a wasteful number, since it uses less digits than its factorization.

1134784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 175 counting only the distinct ones).

The product of its digits is 2688, while the sum is 28.

The square root of 1134784 is about 1065.2624089866. The cubic root of 1134784 is about 104.3048255997.

Subtracting from 1134784 its product of digits (2688), we obtain a square (1132096 = 1064²).

The spelling of 1134784 in words is "one million, one hundred thirty-four thousand, seven hundred eighty-four".