55968318 has 144 divisors (see below), whose sum is σ = 155170080. Its totient is φ = 14257152.

The previous prime is 55968313. The next prime is 55968323. The reversal of 55968318 is 81386955.

55968318 is a `hidden beast` number, since 559 + 6 + 83 + 18 = 666.

It is an interprime number because it is at equal distance from previous prime (55968313) and next prime (55968323).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55968313) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1055980 + ... + 1056032.

It is an arithmetic number, because the mean of its divisors is an integer number (1077570).

Almost surely, 2^55968318 is an apocalyptic number.

55968318 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 55968318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77585040).

55968318 is an abundant number, since it is smaller than the sum of its proper divisors (99201762).

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

55968318 is a wasteful number, since it uses less digits than its factorization.

55968318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 111 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 55968318 is about 7481.1976313957. The cubic root of 55968318 is about 382.5140735563.

The spelling of 55968318 in words is "fifty-five million, nine hundred sixty-eight thousand, three hundred eighteen".