65085840 has 60 divisors (see below), whose sum is σ = 218582364. Its totient is φ = 17356032.

The previous prime is 65085767. The next prime is 65085847. The reversal of 65085840 is 4858056.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7750656 + 57335184 = 2784^2 + 7572^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 65085795 and 65085804.

It is not an unprimeable number, because it can be changed into a prime (65085847) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44479 + ... + 45918.

Almost surely, 2^65085840 is an apocalyptic number.

65085840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

65085840 is an abundant number, since it is smaller than the sum of its proper divisors (153496524).

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

65085840 is a wasteful number, since it uses less digits than its factorization.

65085840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90416 (or 90407 counting only the distinct ones).

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

The square root of 65085840 is about 8067.5795626693. The cubic root of 65085840 is about 402.2494924120.

The spelling of 65085840 in words is "sixty-five million, eighty-five thousand, eight hundred forty".