264113000 has 32 divisors (see below), whose sum is σ = 618026760. Its totient is φ = 105644800.

The previous prime is 264112997. The next prime is 264113011. The reversal of 264113000 is 311462.

It can be written as a sum of positive squares in 4 ways, for example, as 16176484 + 247936516 = 4022^2 + 15746^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 264113000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131057 + ... + 133056.

Almost surely, 2^264113000 is an apocalyptic number.

264113000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264113000 is an abundant number, since it is smaller than the sum of its proper divisors (353913760).

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

264113000 is a wasteful number, since it uses less digits than its factorization.

264113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264134 (or 264120 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 264113000 is about 16251.5537718706. The cubic root of 264113000 is about 641.5983810694.

Adding to 264113000 its reverse (311462), we get a palindrome (264424462).

It can be divided in two parts, 26 and 4113000, that multiplied together give a triangular number (106938000 = T₁₄₆₂₄).

The spelling of 264113000 in words is "two hundred sixty-four million, one hundred thirteen thousand".