55017768 has 64 divisors (see below), whose sum is σ = 155937600. Its totient is φ = 16035840.

The previous prime is 55017761. The next prime is 55017793. The reversal of 55017768 is 86771055.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (55017761) 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, 1288 + ... + 10568.

It is an arithmetic number, because the mean of its divisors is an integer number (2436525).

Almost surely, 2^55017768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55017768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77968800).

55017768 is an abundant number, since it is smaller than the sum of its proper divisors (100919832).

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

55017768 is a wasteful number, since it uses less digits than its factorization.

55017768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9322 (or 9318 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 39.

The square root of 55017768 is about 7417.3963086787. The cubic root of 55017768 is about 380.3361937030.

The spelling of 55017768 in words is "fifty-five million, seventeen thousand, seven hundred sixty-eight".