54177984 has 140 divisors (see below), whose sum is σ = 183666384. Its totient is φ = 15469056.

The previous prime is 54177983. The next prime is 54178013. The reversal of 54177984 is 48977145.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (54177983) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 35542 + ... + 37034.

Almost surely, 2^54177984 is an apocalyptic number.

54177984 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54177984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91833192).

54177984 is an abundant number, since it is smaller than the sum of its proper divisors (129488400).

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

54177984 is a wasteful number, since it uses less digits than its factorization.

54177984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1505 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 54177984 is about 7360.5695431807. The cubic root of 54177984 is about 378.3911295368.

The spelling of 54177984 in words is "fifty-four million, one hundred seventy-seven thousand, nine hundred eighty-four".