54917632 has 120 divisors (see below), whose sum is σ = 139946400. Its totient is φ = 21288960.

The previous prime is 54917627. The next prime is 54917641. The reversal of 54917632 is 23671945.

It is a junction number, because it is equal to n+sod(n) for n = 54917591 and 54917600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 275869 + ... + 276067.

It is an arithmetic number, because the mean of its divisors is an integer number (1166220).

Almost surely, 2^54917632 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 54917632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69973200).

54917632 is an abundant number, since it is smaller than the sum of its proper divisors (85028768).

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

54917632 is a wasteful number, since it uses less digits than its factorization.

54917632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 219 counting only the distinct ones).

The product of its digits is 45360, while the sum is 37.

The square root of 54917632 is about 7410.6431569736. The cubic root of 54917632 is about 380.1053078406.

It can be divided in two parts, 549 and 17632, that added together give a palindrome (18181).

The spelling of 54917632 in words is "fifty-four million, nine hundred seventeen thousand, six hundred thirty-two".