55683936 has 336 divisors, whose sum is σ = 211534848. Its totient is φ = 13996800.

The previous prime is 55683923. The next prime is 55683941. The reversal of 55683936 is 63938655.

55683936 is a `hidden beast` number, since 556 + 8 + 3 + 93 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

Its product of digits (583200) is a multiple of the sum of its prime divisors (54).

It is a junction number, because it is equal to n+sod(n) for n = 55683891 and 55683900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1796241 + ... + 1796271.

It is an arithmetic number, because the mean of its divisors is an integer number (629568).

Almost surely, 2^55683936 is an apocalyptic number.

55683936 is a gapful number since it is divisible by the number (56) 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 55683936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105767424).

55683936 is an abundant number, since it is smaller than the sum of its proper divisors (155850912).

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

55683936 is a wasteful number, since it uses less digits than its factorization.

55683936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 54 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 55683936 is about 7462.1669774939. The cubic root of 55683936 is about 381.8651059213.

The spelling of 55683936 in words is "fifty-five million, six hundred eighty-three thousand, nine hundred thirty-six".