1165207680 has 960 divisors, whose sum is σ = 5420606400. Its totient is φ = 232906752.

The previous prime is 1165207651. The next prime is 1165207717. The reversal of 1165207680 is 867025611.

It is a tau number, because it is divible by the number of its divisors (960).

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 119 ways as a sum of consecutive naturals, for example, 61326711 + ... + 61326729.

It is an arithmetic number, because the mean of its divisors is an integer number (5646465).

It is a vampire number, since it can be written as 15210 ⋅ 76608 (with its own digits).

Almost surely, 2^1165207680 is an apocalyptic number.

1165207680 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 1165207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710303200).

1165207680 is an abundant number, since it is smaller than the sum of its proper divisors (4255398720).

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

1165207680 is a wasteful number, since it uses less digits than its factorization.

1165207680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1165207680 is about 34135.1384939332. The cubic root of 1165207680 is about 1052.2875839612.

The spelling of 1165207680 in words is "one billion, one hundred sixty-five million, two hundred seven thousand, six hundred eighty".