1165933440 has 768 divisors, whose sum is σ = 5148878400. Its totient is φ = 250822656.

The previous prime is 1165933393. The next prime is 1165933469. The reversal of 1165933440 is 443395611.

1165933440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 1165933395 and 1165933404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68584312 + ... + 68584328.

Almost surely, 2^1165933440 is an apocalyptic number.

1165933440 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 1165933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2574439200).

1165933440 is an abundant number, since it is smaller than the sum of its proper divisors (3982944960).

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

1165933440 is an frugal number, since it uses more digits than its factorization.

1165933440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1165933440 is about 34145.7675268839. The cubic root of 1165933440 is about 1052.5060141873.

The spelling of 1165933440 in words is "one billion, one hundred sixty-five million, nine hundred thirty-three thousand, four hundred forty".