55967680 has 112 divisors (see below), whose sum is σ = 142463520. Its totient is φ = 20901888.

The previous prime is 55967677. The next prime is 55967687. The reversal of 55967680 is 8676955.

It is a self number, because there is not a number n which added to its sum of digits gives 55967680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55967687) 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, 343279 + ... + 343441.

Almost surely, 2^55967680 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 55967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71231760).

55967680 is an abundant number, since it is smaller than the sum of its proper divisors (86495840).

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

55967680 is a wasteful number, since it uses less digits than its factorization.

55967680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 46.

The square root of 55967680 is about 7481.1549910425. The cubic root of 55967680 is about 382.5126200857.

The spelling of 55967680 in words is "fifty-five million, nine hundred sixty-seven thousand, six hundred eighty".