55946880 has 192 divisors, whose sum is σ = 210993120. Its totient is φ = 13547520.

The previous prime is 55946797. The next prime is 55946893. The reversal of 55946880 is 8864955.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62919 + ... + 63801.

Almost surely, 2^55946880 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 55946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105496560).

55946880 is an abundant number, since it is smaller than the sum of its proper divisors (155046240).

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

55946880 is a wasteful number, since it uses less digits than its factorization.

55946880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 55946880 is about 7479.7647021815. The cubic root of 55946880 is about 382.4652281604.

The spelling of 55946880 in words is "fifty-five million, nine hundred forty-six thousand, eight hundred eighty".