65623616 has 56 divisors (see below), whose sum is σ = 135376920. Its totient is φ = 31539200.

The previous prime is 65623601. The next prime is 65623693. The reversal of 65623616 is 61632656.

It can be written as a sum of positive squares in 4 ways, for example, as 78400 + 65545216 = 280^2 + 8096^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233396 + ... + 233676.

It is an arithmetic number, because the mean of its divisors is an integer number (2417445).

Almost surely, 2^65623616 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 65623616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67688460).

65623616 is an abundant number, since it is smaller than the sum of its proper divisors (69753304).

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

65623616 is a wasteful number, since it uses less digits than its factorization.

65623616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 413 counting only the distinct ones).

The product of its digits is 38880, while the sum is 35.

The square root of 65623616 is about 8100.8404502249. The cubic root of 65623616 is about 403.3543259494.

It can be divided in two parts, 656 and 23616, that multiplied together give a square (15492096 = 3936²).

The spelling of 65623616 in words is "sixty-five million, six hundred twenty-three thousand, six hundred sixteen".