55866960 has 120 divisors (see below), whose sum is σ = 193749504. Its totient is φ = 14411520.

The previous prime is 55866953. The next prime is 55866961. The reversal of 55866960 is 6966855.

55866960 is a `hidden beast` number, since 5 + 586 + 6 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×55866960² = 6242234439283200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55866961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21069 + ... + 23571.

Almost surely, 2^55866960 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 55866960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96874752).

55866960 is an abundant number, since it is smaller than the sum of its proper divisors (137882544).

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

55866960 is a wasteful number, since it uses less digits than its factorization.

55866960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2553 (or 2544 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 55866960 is about 7474.4203788655. The cubic root of 55866960 is about 382.2830244499.

The spelling of 55866960 in words is "fifty-five million, eight hundred sixty-six thousand, nine hundred sixty".