1164021000 has 128 divisors (see below), whose sum is σ = 3643436160. Its totient is φ = 309408000.

The previous prime is 1164020983. The next prime is 1164021011. The reversal of 1164021000 is 1204611.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1760670 + ... + 1761330.

It is an arithmetic number, because the mean of its divisors is an integer number (28464345).

Almost surely, 2^1164021000 is an apocalyptic number.

1164021000 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 1164021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821718080).

1164021000 is an abundant number, since it is smaller than the sum of its proper divisors (2479415160).

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

1164021000 is a wasteful number, since it uses less digits than its factorization.

1164021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1164021000 is about 34117.7519775263. The cubic root of 1164021000 is about 1051.9302362812.

Adding to 1164021000 its reverse (1204611), we get a palindrome (1165225611).

It can be divided in two parts, 11640 and 21000, that added together give a triangular number (32640 = T₂₅₅).

The spelling of 1164021000 in words is "one billion, one hundred sixty-four million, twenty-one thousand".