1164533760 has 448 divisors, whose sum is σ = 4513844160. Its totient is φ = 286654464.

The previous prime is 1164533743. The next prime is 1164533771. The reversal of 1164533760 is 673354611.

1164533760 is a `hidden beast` number, since 1 + 1 + 64 + 533 + 7 + 60 = 666.

It is a super-2 number, since 2×1164533760² = 2712277756359475200, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 89579514 + ... + 89579526.

It is an arithmetic number, because the mean of its divisors is an integer number (10075545).

Almost surely, 2^1164533760 is an apocalyptic number.

1164533760 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 1164533760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256922080).

1164533760 is an abundant number, since it is smaller than the sum of its proper divisors (3349310400).

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

1164533760 is an frugal number, since it uses more digits than its factorization.

1164533760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 1164533760 is about 34125.2657132512. The cubic root of 1164533760 is about 1052.0846746650.

The spelling of 1164533760 in words is "one billion, one hundred sixty-four million, five hundred thirty-three thousand, seven hundred sixty".