65068920 has 320 divisors, whose sum is σ = 264844800. Its totient is φ = 13996800.

The previous prime is 65068891. The next prime is 65068921. The reversal of 65068920 is 2986056.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65068921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 430845 + ... + 430995.

It is an arithmetic number, because the mean of its divisors is an integer number (827640).

Almost surely, 2^65068920 is an apocalyptic number.

65068920 is a gapful number since it is divisible by the number (60) 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 65068920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132422400).

65068920 is an abundant number, since it is smaller than the sum of its proper divisors (199775880).

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

65068920 is a wasteful number, since it uses less digits than its factorization.

65068920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 187 counting only the distinct ones).

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

The square root of 65068920 is about 8066.5308528512. The cubic root of 65068920 is about 402.2146325445.

The spelling of 65068920 in words is "sixty-five million, sixty-eight thousand, nine hundred twenty".