55435920 has 80 divisors (see below), whose sum is σ = 180911040. Its totient is φ = 14003712.

The previous prime is 55435909. The next prime is 55435921. The reversal of 55435920 is 2953455.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (55435921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1519 + ... + 10638.

It is an arithmetic number, because the mean of its divisors is an integer number (2261388).

Almost surely, 2^55435920 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 55435920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90455520).

55435920 is an abundant number, since it is smaller than the sum of its proper divisors (125475120).

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

55435920 is a wasteful number, since it uses less digits than its factorization.

55435920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12192 (or 12186 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The square root of 55435920 is about 7445.5302027458. The cubic root of 55435920 is about 381.2973202932.

The spelling of 55435920 in words is "fifty-five million, four hundred thirty-five thousand, nine hundred twenty".