55742960 has 240 divisors, whose sum is σ = 174274560. Its totient is φ = 16174080.

The previous prime is 55742933. The next prime is 55742993. The reversal of 55742960 is 6924755.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1798145 + ... + 1798175.

It is an arithmetic number, because the mean of its divisors is an integer number (726144).

Almost surely, 2^55742960 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 55742960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87137280).

55742960 is an abundant number, since it is smaller than the sum of its proper divisors (118531600).

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

55742960 is a wasteful number, since it uses less digits than its factorization.

55742960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 38.

The square root of 55742960 is about 7466.1208133809. The cubic root of 55742960 is about 381.9999817256. Note that the first 4 decimals are identical.

The spelling of 55742960 in words is "fifty-five million, seven hundred forty-two thousand, nine hundred sixty".