54629968 has 40 divisors (see below), whose sum is σ = 114278400. Its totient is φ = 25221504.

The previous prime is 54629957. The next prime is 54629969. The reversal of 54629968 is 86992645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54629969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8113 + ... + 13231.

It is an arithmetic number, because the mean of its divisors is an integer number (2856960).

Almost surely, 2^54629968 is an apocalyptic number.

54629968 is a gapful number since it is divisible by the number (58) 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 54629968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57139200).

54629968 is an abundant number, since it is smaller than the sum of its proper divisors (59648432).

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

54629968 is a wasteful number, since it uses less digits than its factorization.

54629968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5179 (or 5173 counting only the distinct ones).

The product of its digits is 933120, while the sum is 49.

The square root of 54629968 is about 7391.2088321194. The cubic root of 54629968 is about 379.4404692291.

The spelling of 54629968 in words is "fifty-four million, six hundred twenty-nine thousand, nine hundred sixty-eight".