55746880 has 112 divisors (see below), whose sum is σ = 155667456. Its totient is φ = 18616320.

The previous prime is 55746869. The next prime is 55746883. The reversal of 55746880 is 8864755.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55746883) 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, 91537 + ... + 92143.

It is an arithmetic number, because the mean of its divisors is an integer number (1389888).

Almost surely, 2^55746880 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 55746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77833728).

55746880 is an abundant number, since it is smaller than the sum of its proper divisors (99920576).

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

55746880 is a wasteful number, since it uses less digits than its factorization.

55746880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 43.

The square root of 55746880 is about 7466.3833279574. The cubic root of 55746880 is about 382.0089359495.

The spelling of 55746880 in words is "fifty-five million, seven hundred forty-six thousand, eight hundred eighty".