65933420 has 72 divisors (see below), whose sum is σ = 169590960. Its totient is φ = 21409920.

The previous prime is 65933407. The next prime is 65933423. The reversal of 65933420 is 2433956.

65933420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (65933423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16850 + ... + 20390.

It is an arithmetic number, because the mean of its divisors is an integer number (2355430).

Almost surely, 2^65933420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65933420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84795480).

65933420 is an abundant number, since it is smaller than the sum of its proper divisors (103657540).

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

65933420 is a wasteful number, since it uses less digits than its factorization.

65933420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3583 (or 3574 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

The square root of 65933420 is about 8119.9396549482. The cubic root of 65933420 is about 403.9880645430.

It can be divided in two parts, 659334 and 20, that multiplied together give a triangular number (13186680 = T₅₁₃₅).

The spelling of 65933420 in words is "sixty-five million, nine hundred thirty-three thousand, four hundred twenty".