54019840 has 72 divisors (see below), whose sum is σ = 147903840. Its totient is φ = 18518016.

The previous prime is 54019817. The next prime is 54019841. The reversal of 54019840 is 4891045.

It is a happy number.

It is a super-2 number, since 2×54019840² = 5836286227251200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54019841) 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, 5946 + ... + 11974.

It is an arithmetic number, because the mean of its divisors is an integer number (2054220).

Almost surely, 2^54019840 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 54019840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73951920).

54019840 is an abundant number, since it is smaller than the sum of its proper divisors (93884000).

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

54019840 is an equidigital number, since it uses as much as digits as its factorization.

54019840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6057 (or 6043 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 54019840 is about 7349.8190453915. The cubic root of 54019840 is about 378.0225997331.

The spelling of 54019840 in words is "fifty-four million, nineteen thousand, eight hundred forty".