1164468960 has 240 divisors, whose sum is σ = 4326814800. Its totient is φ = 294119424.

The previous prime is 1164468959. The next prime is 1164468967. The reversal of 1164468960 is 698644611.

1164468960 is a `hidden beast` number, since 116 + 446 + 8 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1164468967) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 243876 + ... + 248604.

It is an arithmetic number, because the mean of its divisors is an integer number (18028395).

Almost surely, 2^1164468960 is an apocalyptic number.

1164468960 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 1164468960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163407400).

1164468960 is an abundant number, since it is smaller than the sum of its proper divisors (3162345840).

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

1164468960 is a wasteful number, since it uses less digits than its factorization.

1164468960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4775 (or 4758 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1164468960 is about 34124.3162568864. The cubic root of 1164468960 is about 1052.0651600307.

The spelling of 1164468960 in words is "one billion, one hundred sixty-four million, four hundred sixty-eight thousand, nine hundred sixty".