54648132 has 192 divisors, whose sum is σ = 174182400. Its totient is φ = 13171200.

The previous prime is 54648127. The next prime is 54648137. The reversal of 54648132 is 23184645.

It is an interprime number because it is at equal distance from previous prime (54648127) and next prime (54648137).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 54648093 and 54648102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54648137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 769657 + ... + 769727.

It is an arithmetic number, because the mean of its divisors is an integer number (907200).

Almost surely, 2^54648132 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 54648132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87091200).

54648132 is an abundant number, since it is smaller than the sum of its proper divisors (119534268).

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

54648132 is a wasteful number, since it uses less digits than its factorization.

54648132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 111 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 54648132 is about 7392.4374870539. The cubic root of 54648132 is about 379.4825181460.

The spelling of 54648132 in words is "fifty-four million, six hundred forty-eight thousand, one hundred thirty-two".