1156400 has 90 divisors (see below), whose sum is σ = 3286620. Its totient is φ = 389760.

The previous prime is 1156387. The next prime is 1156403. The reversal of 1156400 is 46511.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1156403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19571 + ... + 19629.

It is an arithmetic number, because the mean of its divisors is an integer number (36518).

2^1156400 is an apocalyptic number.

1156400 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 1156400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643310).

1156400 is an abundant number, since it is smaller than the sum of its proper divisors (2130220).

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

1156400 is a wasteful number, since it uses less digits than its factorization.

1156400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 1156400 is about 1075.3604047016. The cubic root of 1156400 is about 104.9629498911.

It can be divided in two parts, 1156 and 400, that multiplied together give a square (462400 = 680²).

The spelling of 1156400 in words is "one million, one hundred fifty-six thousand, four hundred".