65219616 has 288 divisors, whose sum is σ = 246250368. Its totient is φ = 15851520.

The previous prime is 65219591. The next prime is 65219621. The reversal of 65219616 is 61691256.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×65219616² = 8507196622374912, which contains 22 as substring.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 376906 + ... + 377078.

It is an arithmetic number, because the mean of its divisors is an integer number (855036).

Almost surely, 2^65219616 is an apocalyptic number.

65219616 is a gapful number since it is divisible by the number (66) 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 65219616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123125184).

65219616 is an abundant number, since it is smaller than the sum of its proper divisors (181030752).

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

65219616 is a wasteful number, since it uses less digits than its factorization.

65219616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 213 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 65219616 is about 8075.8662693237. The cubic root of 65219616 is about 402.5248953906.

65219616 divided by its sum of digits (36) gives a triangular number (1811656 = T₁₉₀₃).

The spelling of 65219616 in words is "sixty-five million, two hundred nineteen thousand, six hundred sixteen".