54007968 has 48 divisors (see below), whose sum is σ = 162025920. Its totient is φ = 15430656.

The previous prime is 54007939. The next prime is 54007981. The reversal of 54007968 is 86970045.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39513 + ... + 40856.

It is an arithmetic number, because the mean of its divisors is an integer number (3375540).

Almost surely, 2^54007968 is an apocalyptic number.

It is an amenable number.

54007968 is an abundant number, since it is smaller than the sum of its proper divisors (108017952).

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

54007968 is a wasteful number, since it uses less digits than its factorization.

54007968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80389 (or 80381 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 54007968 is about 7349.0113620813. The cubic root of 54007968 is about 377.9949048892.

The spelling of 54007968 in words is "fifty-four million, seven thousand, nine hundred sixty-eight".