55967880 has 64 divisors (see below), whose sum is σ = 170294400. Its totient is φ = 14712320.

The previous prime is 55967839. The next prime is 55967887. The reversal of 55967880 is 8876955.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (55967887) 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, 5236 + ... + 11804.

It is an arithmetic number, because the mean of its divisors is an integer number (2660850).

Almost surely, 2^55967880 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 55967880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85147200).

55967880 is an abundant number, since it is smaller than the sum of its proper divisors (114326520).

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

55967880 is a wasteful number, since it uses less digits than its factorization.

55967880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6654 (or 6650 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The square root of 55967880 is about 7481.1683579505. The cubic root of 55967880 is about 382.5130757203.

The spelling of 55967880 in words is "fifty-five million, nine hundred sixty-seven thousand, eight hundred eighty".