264874116 has 48 divisors (see below), whose sum is σ = 672211008. Its totient is φ = 80688000.

The previous prime is 264874097. The next prime is 264874153. The reversal of 264874116 is 611478462.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 15 ways as a sum of consecutive naturals, for example, 7351 + ... + 24161.

It is an arithmetic number, because the mean of its divisors is an integer number (14004396).

Almost surely, 2^264874116 is an apocalyptic number.

264874116 is a gapful number since it is divisible by the number (26) 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 264874116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336105504).

264874116 is an abundant number, since it is smaller than the sum of its proper divisors (407336892).

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

264874116 is a wasteful number, since it uses less digits than its factorization.

264874116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16932 (or 16930 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 264874116 is about 16274.9536404870. The cubic root of 264874116 is about 642.2141054694.

It can be divided in two parts, 26487 and 4116, that added together give a palindrome (30603).

The spelling of 264874116 in words is "two hundred sixty-four million, eight hundred seventy-four thousand, one hundred sixteen".