55435936 has 96 divisors (see below), whose sum is σ = 121927680. Its totient is φ = 24729600.

The previous prime is 55435927. The next prime is 55435937. The reversal of 55435936 is 63953455.

It is a happy number.

Its product of digits (243000) is a multiple of the sum of its prime divisors (150).

It is not an unprimeable number, because it can be changed into a prime (55435937) 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, 1179465 + ... + 1179511.

It is an arithmetic number, because the mean of its divisors is an integer number (1270080).

Almost surely, 2^55435936 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 55435936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60963840).

55435936 is an abundant number, since it is smaller than the sum of its proper divisors (66491744).

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

55435936 is a wasteful number, since it uses less digits than its factorization.

55435936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 150 counting only the distinct ones).

The product of its digits is 243000, while the sum is 40.

The square root of 55435936 is about 7445.5312772159. The cubic root of 55435936 is about 381.2973569768.

The spelling of 55435936 in words is "fifty-five million, four hundred thirty-five thousand, nine hundred thirty-six".