54031968 has 96 divisors (see below), whose sum is σ = 164505600. Its totient is φ = 17221248.

The previous prime is 54031961. The next prime is 54031969. The reversal of 54031968 is 86913045.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54031961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18513 + ... + 21231.

It is an arithmetic number, because the mean of its divisors is an integer number (1713600).

Almost surely, 2^54031968 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 54031968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82252800).

54031968 is an abundant number, since it is smaller than the sum of its proper divisors (110473632).

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

54031968 is a wasteful number, since it uses less digits than its factorization.

54031968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2761 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 54031968 is about 7350.6440534146. The cubic root of 54031968 is about 378.0508875809.

The spelling of 54031968 in words is "fifty-four million, thirty-one thousand, nine hundred sixty-eight".