65838080 has 176 divisors, whose sum is σ = 198084096. Its totient is φ = 20398080.

The previous prime is 65838061. The next prime is 65838089. The reversal of 65838080 is 8083856.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65838089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394157 + ... + 394323.

Almost surely, 2^65838080 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 65838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99042048).

65838080 is an abundant number, since it is smaller than the sum of its proper divisors (132246016).

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

65838080 is a wasteful number, since it uses less digits than its factorization.

65838080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 65838080 is about 8114.0667978517. The cubic root of 65838080 is about 403.7932478027.

The spelling of 65838080 in words is "sixty-five million, eight hundred thirty-eight thousand, eighty".