1164268000 has 192 divisors, whose sum is σ = 3348753408. Its totient is φ = 389491200.

The previous prime is 1164267991. The next prime is 1164268003. The reversal of 1164268000 is 8624611.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 1164268000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1164268003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1203517 + ... + 1204483.

It is an arithmetic number, because the mean of its divisors is an integer number (17441424).

Almost surely, 2^1164268000 is an apocalyptic number.

1164268000 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 1164268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674376704).

1164268000 is an abundant number, since it is smaller than the sum of its proper divisors (2184485408).

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

1164268000 is an equidigital number, since it uses as much as digits as its factorization.

1164268000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 1164268000 is about 34121.3716019740. The cubic root of 1164268000 is about 1052.0046359678.

The spelling of 1164268000 in words is "one billion, one hundred sixty-four million, two hundred sixty-eight thousand".