1164770880 has 448 divisors, whose sum is σ = 4642713600. Its totient is φ = 240869376.

The previous prime is 1164770879. The next prime is 1164770897. The reversal of 1164770880 is 880774611.

It is a happy number.

1164770880 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5853021 + ... + 5853219.

It is an arithmetic number, because the mean of its divisors is an integer number (10363200).

Almost surely, 2^1164770880 is an apocalyptic number.

1164770880 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 1164770880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321356800).

1164770880 is an abundant number, since it is smaller than the sum of its proper divisors (3477942720).

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

1164770880 is a wasteful number, since it uses less digits than its factorization.

1164770880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

The square root of 1164770880 is about 34128.7397950759. The cubic root of 1164770880 is about 1052.1560776008.

The spelling of 1164770880 in words is "one billion, one hundred sixty-four million, seven hundred seventy thousand, eight hundred eighty".