55626480 has 320 divisors, whose sum is σ = 236651520. Its totient is φ = 11695104.

The previous prime is 55626421. The next prime is 55626491. The reversal of 55626480 is 8462655.

55626480 is a `hidden beast` number, since 5 + 5 + 6 + 2 + 648 + 0 = 666.

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, 196419 + ... + 196701.

It is an arithmetic number, because the mean of its divisors is an integer number (739536).

Almost surely, 2^55626480 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 55626480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118325760).

55626480 is an abundant number, since it is smaller than the sum of its proper divisors (181025040).

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

55626480 is a wasteful number, since it uses less digits than its factorization.

55626480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 55626480 is about 7458.3161638536. The cubic root of 55626480 is about 381.7337215781.

The spelling of 55626480 in words is "fifty-five million, six hundred twenty-six thousand, four hundred eighty".