55774656 has 280 divisors, whose sum is σ = 199156320. Its totient is φ = 15095808.

The previous prime is 55774643. The next prime is 55774657. The reversal of 55774656 is 65647755.

55774656 is a `hidden beast` number, since 557 + 7 + 46 + 56 = 666.

It is a super-2 number, since 2×55774656² = 6221624503836672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55774657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1052326 + ... + 1052378.

Almost surely, 2^55774656 is an apocalyptic number.

55774656 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 55774656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99578160).

55774656 is an abundant number, since it is smaller than the sum of its proper divisors (143381664).

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

55774656 is a wasteful number, since it uses less digits than its factorization.

55774656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 94 counting only the distinct ones).

The product of its digits is 882000, while the sum is 45.

The square root of 55774656 is about 7468.2431669034. The cubic root of 55774656 is about 382.0723709999.

The spelling of 55774656 in words is "fifty-five million, seven hundred seventy-four thousand, six hundred fifty-six".