1156000 has 72 divisors (see below), whose sum is σ = 3017196. Its totient is φ = 435200.

The previous prime is 1155997. The next prime is 1156009. The reversal of 1156000 is 6511.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 242064 + 913936 = 492^2 + 956^2 .

It is not an unprimeable number, because it can be changed into a prime (1156009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67992 + ... + 68008.

2^1156000 is an apocalyptic number.

1156000 is a gapful number since it is divisible by the number (10) 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 1156000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508598).

1156000 is an abundant number, since it is smaller than the sum of its proper divisors (1861196).

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

1156000 is an equidigital number, since it uses as much as digits as its factorization.

1156000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 1156000 is about 1075.1744044572. The cubic root of 1156000 is about 104.9508462298.

The spelling of 1156000 in words is "one million, one hundred fifty-six thousand".