264106080 has 432 divisors, whose sum is σ = 1109188080. Its totient is φ = 56899584.

The previous prime is 264106039. The next prime is 264106121. The reversal of 264106080 is 80601462.

It is an interprime number because it is at equal distance from previous prime (264106039) and next prime (264106121).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1340542 + ... + 1340738.

It is an arithmetic number, because the mean of its divisors is an integer number (2567565).

Almost surely, 2^264106080 is an apocalyptic number.

264106080 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 264106080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554594040).

264106080 is an abundant number, since it is smaller than the sum of its proper divisors (845082000).

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

264106080 is a wasteful number, since it uses less digits than its factorization.

264106080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 264106080 is about 16251.3408677561. The cubic root of 264106080 is about 641.5927775341.

The spelling of 264106080 in words is "two hundred sixty-four million, one hundred six thousand, eighty".