1165197600 has 432 divisors, whose sum is σ = 4785318720. Its totient is φ = 261273600.

The previous prime is 1165197569. The next prime is 1165197611. The reversal of 1165197600 is 67915611.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3074211 + ... + 3074589.

Almost surely, 2^1165197600 is an apocalyptic number.

1165197600 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 1165197600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2392659360).

1165197600 is an abundant number, since it is smaller than the sum of its proper divisors (3620121120).

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

1165197600 is a wasteful number, since it uses less digits than its factorization.

1165197600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 1165197600 is about 34134.9908451723. The cubic root of 1165197600 is about 1052.2845495696.

It can be divided in two parts, 1165 and 197600, that added together give a triangular number (198765 = T₆₃₀).

The spelling of 1165197600 in words is "one billion, one hundred sixty-five million, one hundred ninety-seven thousand, six hundred".