1128600 has 192 divisors, whose sum is σ = 4464000. Its totient is φ = 259200.

The previous prime is 1128599. The next prime is 1128601. The reversal of 1128600 is 68211.

It is an interprime number because it is at equal distance from previous prime (1128599) and next prime (1128601).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1128601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59391 + ... + 59409.

It is an arithmetic number, because the mean of its divisors is an integer number (23250).

2^1128600 is an apocalyptic number.

1128600 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 1128600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232000).

1128600 is an abundant number, since it is smaller than the sum of its proper divisors (3335400).

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

1128600 is a wasteful number, since it uses less digits than its factorization.

1128600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1128600 is about 1062.3558725775. The cubic root of 1128600 is about 104.1150108328.

It can be divided in two parts, 1128 and 600, that added together give a cube (1728 = 12³).

The spelling of 1128600 in words is "one million, one hundred twenty-eight thousand, six hundred".