1164101760 has 512 divisors, whose sum is σ = 4494528000. Its totient is φ = 283852800.

The previous prime is 1164101759. The next prime is 1164101761. The reversal of 1164101760 is 671014611.

1164101760 is a `hidden beast` number, since 1 + 1 + 641 + 0 + 17 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1164101759) and next prime (1164101761).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1164101761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11525710 + ... + 11525810.

It is an arithmetic number, because the mean of its divisors is an integer number (8778375).

Almost surely, 2^1164101760 is an apocalyptic number.

1164101760 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 1164101760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2247264000).

1164101760 is an abundant number, since it is smaller than the sum of its proper divisors (3330426240).

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

1164101760 is a wasteful number, since it uses less digits than its factorization.

1164101760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1164101760 is about 34118.9355050828. The cubic root of 1164101760 is about 1051.9545634257.

The spelling of 1164101760 in words is "one billion, one hundred sixty-four million, one hundred one thousand, seven hundred sixty".