65442816 has 132 divisors (see below), whose sum is σ = 196708512. Its totient is φ = 21731328.

The previous prime is 65442779. The next prime is 65442823. The reversal of 65442816 is 61824456.

It is a super-3 number, since 3×65442816³ (a number of 24 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 248701 + ... + 248963.

It is an arithmetic number, because the mean of its divisors is an integer number (1490216).

Almost surely, 2^65442816 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 65442816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98354256).

65442816 is an abundant number, since it is smaller than the sum of its proper divisors (131265696).

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

65442816 is an equidigital number, since it uses as much as digits as its factorization.

65442816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 268 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 65442816 is about 8089.6734173884. The cubic root of 65442816 is about 402.9835573011.

The spelling of 65442816 in words is "sixty-five million, four hundred forty-two thousand, eight hundred sixteen".