55934784 has 126 divisors (see below), whose sum is σ = 169838370. Its totient is φ = 17597952.

The previous prime is 55934731. The next prime is 55934789. The reversal of 55934784 is 48743955.

It can be written as a sum of positive squares in only one way, i.e., 35141184 + 20793600 = 5928^2 + 4560^2 .

It is a super-2 number, since 2×55934784² = 6257400122253312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55934789) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 207802 + ... + 208070.

Almost surely, 2^55934784 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 55934784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84919185).

55934784 is an abundant number, since it is smaller than the sum of its proper divisors (113903586).

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

55934784 is a wasteful number, since it uses less digits than its factorization.

55934784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 293 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 55934784 is about 7478.9560768867. The cubic root of 55934784 is about 382.4376625312.

The spelling of 55934784 in words is "fifty-five million, nine hundred thirty-four thousand, seven hundred eighty-four".