1165438800 has 360 divisors, whose sum is σ = 4355713280. Its totient is φ = 295660800.

The previous prime is 1165438763. The next prime is 1165438843. The reversal of 1165438800 is 88345611.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19753171 + ... + 19753229.

Almost surely, 2^1165438800 is an apocalyptic number.

1165438800 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 1165438800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177856640).

1165438800 is an abundant number, since it is smaller than the sum of its proper divisors (3190274480).

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

1165438800 is a wasteful number, since it uses less digits than its factorization.

1165438800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1165438800 is about 34138.5236939151. The cubic root of 1165438800 is about 1052.3571534272.

The spelling of 1165438800 in words is "one billion, one hundred sixty-five million, four hundred thirty-eight thousand, eight hundred".