54677952 has 168 divisors, whose sum is σ = 182587392. Its totient is φ = 15321600.

The previous prime is 54677947. The next prime is 54677957. The reversal of 54677952 is 25977645.

It is an interprime number because it is at equal distance from previous prime (54677947) and next prime (54677957).

It is a tau number, because it is divible by the number of its divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 54677898 and 54677907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54677957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286177 + ... + 286367.

Almost surely, 2^54677952 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 54677952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91293696).

54677952 is an abundant number, since it is smaller than the sum of its proper divisors (127909440).

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

54677952 is a wasteful number, since it uses less digits than its factorization.

54677952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 274 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 54677952 is about 7394.4541380686. The cubic root of 54677952 is about 379.5515300262.

The spelling of 54677952 in words is "fifty-four million, six hundred seventy-seven thousand, nine hundred fifty-two".