55482624 has 144 divisors (see below), whose sum is σ = 171696000. Its totient is φ = 17639424.

The previous prime is 55482613. The next prime is 55482629. The reversal of 55482624 is 42628455.

It is a happy number.

55482624 is a `hidden beast` number, since 554 + 82 + 6 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55482629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158802 + ... + 159150.

Almost surely, 2^55482624 is an apocalyptic number.

55482624 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55482624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85848000).

55482624 is an abundant number, since it is smaller than the sum of its proper divisors (116213376).

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

55482624 is a wasteful number, since it uses less digits than its factorization.

55482624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 377 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 55482624 is about 7448.6659208210. The cubic root of 55482624 is about 381.4043694854.

The spelling of 55482624 in words is "fifty-five million, four hundred eighty-two thousand, six hundred twenty-four".