1161600 has 144 divisors (see below), whose sum is σ = 4205460. Its totient is φ = 281600.

The previous prime is 1161599. The next prime is 1161617. The reversal of 1161600 is 61611.

1161600 = T₁₀₁ + T₁₀₂ + ... + T₁₉₉.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1161600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 105595 + ... + 105605.

2^1161600 is an apocalyptic number.

1161600 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 1161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2102730).

1161600 is an abundant number, since it is smaller than the sum of its proper divisors (3043860).

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

1161600 is a wasteful number, since it uses less digits than its factorization.

1161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1161600 is about 1077.7754868246. The cubic root of 1161600 is about 105.1200441099.

The spelling of 1161600 in words is "one million, one hundred sixty-one thousand, six hundred".