55075680 has 384 divisors, whose sum is σ = 224985600. Its totient is φ = 12441600.

The previous prime is 55075679. The next prime is 55075697. The reversal of 55075680 is 8657055.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 902850 + ... + 902910.

It is an arithmetic number, because the mean of its divisors is an integer number (585900).

Almost surely, 2^55075680 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 55075680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112492800).

55075680 is an abundant number, since it is smaller than the sum of its proper divisors (169909920).

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

55075680 is a wasteful number, since it uses less digits than its factorization.

55075680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 55075680 is about 7421.2990776548. The cubic root of 55075680 is about 380.4695948855.

It can be divided in two parts, 55075 and 680, that added together give a palindrome (55755).

The spelling of 55075680 in words is "fifty-five million, seventy-five thousand, six hundred eighty".