55979424 has 144 divisors (see below), whose sum is σ = 172815552. Its totient is φ = 17791488.

The previous prime is 55979423. The next prime is 55979431. The reversal of 55979424 is 42497955.

55979424 is a `hidden beast` number, since 559 + 7 + 94 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×55979424² = 6267391822743552, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 55979424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55979423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178692 + ... + 179004.

It is an arithmetic number, because the mean of its divisors is an integer number (1200108).

Almost surely, 2^55979424 is an apocalyptic number.

55979424 is a gapful number since it is divisible by the number (54) 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 55979424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86407776).

55979424 is an abundant number, since it is smaller than the sum of its proper divisors (116836128).

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

55979424 is a wasteful number, since it uses less digits than its factorization.

55979424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 341 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 55979424 is about 7481.9398554118. The cubic root of 55979424 is about 382.5393731096.

The spelling of 55979424 in words is "fifty-five million, nine hundred seventy-nine thousand, four hundred twenty-four".