54485632 has 32 divisors (see below), whose sum is σ = 109303200. Its totient is φ = 27052800.

The previous prime is 54485621. The next prime is 54485633. The reversal of 54485632 is 23658445.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 54485591 and 54485600.

It is not an unprimeable number, because it can be changed into a prime (54485633) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17919 + ... + 20737.

It is an arithmetic number, because the mean of its divisors is an integer number (3415725).

Almost surely, 2^54485632 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 54485632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54651600).

54485632 is an abundant number, since it is smaller than the sum of its proper divisors (54817568).

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

54485632 is a wasteful number, since it uses less digits than its factorization.

54485632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2984 (or 2972 counting only the distinct ones).

The product of its digits is 115200, while the sum is 37.

The square root of 54485632 is about 7381.4383422203. The cubic root of 54485632 is about 379.1060055326.

The spelling of 54485632 in words is "fifty-four million, four hundred eighty-five thousand, six hundred thirty-two".