265813920 has 192 divisors, whose sum is σ = 956067840. Its totient is φ = 68926464.

The previous prime is 265813901. The next prime is 265813931. The reversal of 265813920 is 29318562.

265813920 is a `hidden beast` number, since 26 + 581 + 39 + 20 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159009 + ... + 160671.

It is an arithmetic number, because the mean of its divisors is an integer number (4979520).

Almost surely, 2^265813920 is an apocalyptic number.

265813920 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 265813920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478033920).

265813920 is an abundant number, since it is smaller than the sum of its proper divisors (690253920).

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

265813920 is a wasteful number, since it uses less digits than its factorization.

265813920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 265813920 is about 16303.8007838663. The cubic root of 265813920 is about 642.9727588881.

The spelling of 265813920 in words is "two hundred sixty-five million, eight hundred thirteen thousand, nine hundred twenty".