55065920 has 224 divisors, whose sum is σ = 169322496. Its totient is φ = 16588800.

The previous prime is 55065919. The next prime is 55065931. The reversal of 55065920 is 2956055.

55065920 = 455² + 456² + ... + 637².

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 902690 + ... + 902750.

It is an arithmetic number, because the mean of its divisors is an integer number (755904).

Almost surely, 2^55065920 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 55065920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84661248).

55065920 is an abundant number, since it is smaller than the sum of its proper divisors (114256576).

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

55065920 is a wasteful number, since it uses less digits than its factorization.

55065920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 32.

The square root of 55065920 is about 7420.6414817049. The cubic root of 55065920 is about 380.4471191296.

The spelling of 55065920 in words is "fifty-five million, sixty-five thousand, nine hundred twenty".