54691584 has 144 divisors (see below), whose sum is σ = 158941440. Its totient is φ = 16629760.

The previous prime is 54691579. The next prime is 54691589. The reversal of 54691584 is 48519645.

It is an interprime number because it is at equal distance from previous prime (54691579) and next prime (54691589).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54691589) 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, 770269 + ... + 770339.

It is an arithmetic number, because the mean of its divisors is an integer number (1103760).

Almost surely, 2^54691584 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 54691584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79470720).

54691584 is an abundant number, since it is smaller than the sum of its proper divisors (104249856).

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

54691584 is a wasteful number, since it uses less digits than its factorization.

54691584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 152 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The square root of 54691584 is about 7395.3758525176. The cubic root of 54691584 is about 379.5830699573.

The spelling of 54691584 in words is "fifty-four million, six hundred ninety-one thousand, five hundred eighty-four".