65553444 has 108 divisors (see below), whose sum is σ = 185175900. Its totient is φ = 19536000.

The previous prime is 65553409. The next prime is 65553461. The reversal of 65553444 is 44435556.

65553444 is a `hidden beast` number, since 65 + 553 + 4 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37675044 + 27878400 = 6138^2 + 5280^2 .

It is a super-2 number, since 2×65553444² = 8594508040522272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 65553399 and 65553408.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 439882 + ... + 440030.

Almost surely, 2^65553444 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 65553444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92587950).

65553444 is an abundant number, since it is smaller than the sum of its proper divisors (119622456).

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

65553444 is a wasteful number, since it uses less digits than its factorization.

65553444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 266 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 65553444 is about 8096.5081362276. The cubic root of 65553444 is about 403.2105043796.

It can be divided in two parts, 6555 and 3444, that added together give a palindrome (9999).

The spelling of 65553444 in words is "sixty-five million, five hundred fifty-three thousand, four hundred forty-four".