266145264 has 360 divisors, whose sum is σ = 987936768. Its totient is φ = 68584320.

The previous prime is 266145247. The next prime is 266145281. The reversal of 266145264 is 462541662.

It is an interprime number because it is at equal distance from previous prime (266145247) and next prime (266145281).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2095569 + ... + 2095695.

Almost surely, 2^266145264 is an apocalyptic number.

266145264 is a gapful number since it is divisible by the number (24) 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 266145264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493968384).

266145264 is an abundant number, since it is smaller than the sum of its proper divisors (721791504).

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

266145264 is a wasteful number, since it uses less digits than its factorization.

266145264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 150 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 266145264 is about 16313.9591761166. The cubic root of 266145264 is about 643.2398087413.

It can be divided in two parts, 26614 and 5264, that added together give a triangular number (31878 = T₂₅₂).

The spelling of 266145264 in words is "two hundred sixty-six million, one hundred forty-five thousand, two hundred sixty-four".