48654 has 32 divisors (see below), whose sum is σ = 116640. Its totient is φ = 14976.

The previous prime is 48649. The next prime is 48661. The reversal of 48654 is 45684.

48654 = T₆₇ + T₆₈ + ... + T₈₃.

48654 is a `hidden beast` number, since 4 + 8 + 654 = 666.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

48654 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 892 + ... + 944.

It is an arithmetic number, because the mean of its divisors is an integer number (3645).

2⁴⁸⁶⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58320).

48654 is an abundant number, since it is smaller than the sum of its proper divisors (67986).

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

48654 is a wasteful number, since it uses less digits than its factorization.

48654 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 75 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 48654 is about 220.5765173358. The cubic root of 48654 is about 36.5067229750.

It can be divided in two parts, 486 and 54, that multiplied together give a square (26244 = 162²).

The spelling of 48654 in words is "forty-eight thousand, six hundred fifty-four".