55654560 has 192 divisors, whose sum is σ = 209986560. Its totient is φ = 13685760.

The previous prime is 55654519. The next prime is 55654601. The reversal of 55654560 is 6545655.

It is a happy number.

55654560 is a `hidden beast` number, since 5 + 56 + 545 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (55654519) and next prime (55654601).

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 31 ways as a sum of consecutive naturals, for example, 55665 + ... + 56655.

It is an arithmetic number, because the mean of its divisors is an integer number (1093680).

Almost surely, 2^55654560 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 55654560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104993280).

55654560 is an abundant number, since it is smaller than the sum of its proper divisors (154332000).

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

55654560 is a wasteful number, since it uses less digits than its factorization.

55654560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 55654560 is about 7460.1983887830. The cubic root of 55654560 is about 381.7979432686.

It can be divided in two parts, 5 and 5654560, that added together give a palindrome (5654565).

The spelling of 55654560 in words is "fifty-five million, six hundred fifty-four thousand, five hundred sixty".