55265616 has 120 divisors (see below), whose sum is σ = 178738560. Its totient is φ = 15614208.

The previous prime is 55265611. The next prime is 55265669. The reversal of 55265616 is 61656255.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55265611) 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 23 ways as a sum of consecutive naturals, for example, 109621 + ... + 110123.

It is an arithmetic number, because the mean of its divisors is an integer number (1489488).

Almost surely, 2^55265616 is an apocalyptic number.

55265616 is a gapful number since it is divisible by the number (56) 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 55265616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89369280).

55265616 is an abundant number, since it is smaller than the sum of its proper divisors (123472944).

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

55265616 is a wasteful number, since it uses less digits than its factorization.

55265616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 624 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 55265616 is about 7434.0847452797. The cubic root of 55265616 is about 380.9064601831.

The spelling of 55265616 in words is "fifty-five million, two hundred sixty-five thousand, six hundred sixteen".