1155600 has 120 divisors (see below), whose sum is σ = 4151520. Its totient is φ = 305280.

The previous prime is 1155577. The next prime is 1155601. The reversal of 1155600 is 65511.

1155600 is a `hidden beast` number, since 11 + 55 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1155600² = 2670822720000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (1155601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10747 + ... + 10853.

It is an arithmetic number, because the mean of its divisors is an integer number (34596).

2^1155600 is an apocalyptic number.

1155600 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 1155600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075760).

1155600 is an abundant number, since it is smaller than the sum of its proper divisors (2995920).

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

1155600 is a wasteful number, since it uses less digits than its factorization.

1155600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 1155600 is about 1074.9883720301. The cubic root of 1155600 is about 104.9387397761.

It can be divided in two parts, 11 and 55600, that added together give a triangular number (55611 = T₃₃₃).

The spelling of 1155600 in words is "one million, one hundred fifty-five thousand, six hundred".