1164306528 has 576 divisors, whose sum is σ = 4483100160. Its totient is φ = 287400960.

The previous prime is 1164306511. The next prime is 1164306547. The reversal of 1164306528 is 8256034611.

It is a happy number.

1164306528 is a `hidden beast` number, since 1 + 1 + 643 + 0 + 6 + 5 + 2 + 8 = 666.

It is a super-2 number, since 2×1164306528² = 2711219382286829568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1164306492 and 1164306501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27076875 + ... + 27076917.

It is an arithmetic number, because the mean of its divisors is an integer number (7783160).

Almost surely, 2^1164306528 is an apocalyptic number.

1164306528 is a gapful number since it is divisible by the number (18) 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 1164306528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241550080).

1164306528 is an abundant number, since it is smaller than the sum of its proper divisors (3318793632).

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

1164306528 is a wasteful number, since it uses less digits than its factorization.

1164306528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1164306528 is about 34121.9361701531. The cubic root of 1164306528 is about 1052.0162401653.

The spelling of 1164306528 in words is "one billion, one hundred sixty-four million, three hundred six thousand, five hundred twenty-eight".