265085820 has 144 divisors (see below), whose sum is σ = 828828000. Its totient is φ = 68553216.

The previous prime is 265085819. The next prime is 265085837. The reversal of 265085820 is 28580562.

265085820 is a `hidden beast` number, since 26 + 50 + 8 + 582 + 0 = 666.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1157466 + ... + 1157694.

It is an arithmetic number, because the mean of its divisors is an integer number (5755750).

Almost surely, 2^265085820 is an apocalyptic number.

265085820 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 265085820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414414000).

265085820 is an abundant number, since it is smaller than the sum of its proper divisors (563742180).

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

265085820 is a wasteful number, since it uses less digits than its factorization.

265085820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 265085820 is about 16281.4563230689. The cubic root of 265085820 is about 642.3851591643.

The spelling of 265085820 in words is "two hundred sixty-five million, eighty-five thousand, eight hundred twenty".