55167768 has 48 divisors (see below), whose sum is σ = 150579000. Its totient is φ = 18245760.

The previous prime is 55167767. The next prime is 55167769. The reversal of 55167768 is 86776155.

55167768 is a `hidden beast` number, since 5 + 516 + 77 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (55167767) and next prime (55167769).

It is a super-2 number, since 2×55167768² = 6086965252203648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55167767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6508 + ... + 12356.

Almost surely, 2^55167768 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 55167768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75289500).

55167768 is an abundant number, since it is smaller than the sum of its proper divisors (95411232).

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

55167768 is a wasteful number, since it uses less digits than its factorization.

55167768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5992 (or 5985 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 55167768 is about 7427.5007909794. The cubic root of 55167768 is about 380.6815285662.

The spelling of 55167768 in words is "fifty-five million, one hundred sixty-seven thousand, seven hundred sixty-eight".