266624820 has 144 divisors (see below), whose sum is σ = 1008379008. Its totient is φ = 55399680.

The previous prime is 266624819. The next prime is 266624837. The reversal of 266624820 is 28426662.

It is a super-5 number, since 5×266624820⁵ (a number of 43 digits) contains 55555 as substring.

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 47 ways as a sum of consecutive naturals, for example, 4242 + ... + 23478.

It is an arithmetic number, because the mean of its divisors is an integer number (7002632).

Almost surely, 2^266624820 is an apocalyptic number.

266624820 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 266624820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504189504).

266624820 is an abundant number, since it is smaller than the sum of its proper divisors (741754188).

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

266624820 is a wasteful number, since it uses less digits than its factorization.

266624820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19270 (or 19265 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 266624820 is about 16328.6502810245. The cubic root of 266624820 is about 643.6259192154.

The spelling of 266624820 in words is "two hundred sixty-six million, six hundred twenty-four thousand, eight hundred twenty".