55985776 has 80 divisors (see below), whose sum is σ = 139991040. Its totient is φ = 21047040.

The previous prime is 55985771. The next prime is 55985819. The reversal of 55985776 is 67758955.

It is a super-2 number, since 2×55985776² = 6268814228644352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55985771) 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, 34945 + ... + 36511.

It is an arithmetic number, because the mean of its divisors is an integer number (1749888).

Almost surely, 2^55985776 is an apocalyptic number.

55985776 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 55985776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69995520).

55985776 is an abundant number, since it is smaller than the sum of its proper divisors (84005264).

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

55985776 is a wasteful number, since it uses less digits than its factorization.

55985776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622 (or 1616 counting only the distinct ones).

The product of its digits is 2646000, while the sum is 52.

The square root of 55985776 is about 7482.3643322148. The cubic root of 55985776 is about 382.5538415102.

The spelling of 55985776 in words is "fifty-five million, nine hundred eighty-five thousand, seven hundred seventy-six".