264230120 has 128 divisors (see below), whose sum is σ = 748396800. Its totient is φ = 82241280.

The previous prime is 264230089. The next prime is 264230137. The reversal of 264230120 is 21032462.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 264230092 and 264230101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372326 + ... + 373034.

It is an arithmetic number, because the mean of its divisors is an integer number (5846850).

Almost surely, 2^264230120 is an apocalyptic number.

264230120 is a gapful number since it is divisible by the number (20) 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 264230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374198400).

264230120 is an abundant number, since it is smaller than the sum of its proper divisors (484166680).

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

264230120 is a wasteful number, since it uses less digits than its factorization.

264230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 264230120 is about 16255.1567202534. The cubic root of 264230120 is about 641.6932052516.

Adding to 264230120 its reverse (21032462), we get a palindrome (285262582).

The spelling of 264230120 in words is "two hundred sixty-four million, two hundred thirty thousand, one hundred twenty".