54221648 has 80 divisors (see below), whose sum is σ = 119523600. Its totient is φ = 23654400.

The previous prime is 54221647. The next prime is 54221669. The reversal of 54221648 is 84612245.

It can be written as a sum of positive squares in 8 ways, for example, as 169744 + 54051904 = 412^2 + 7352^2 .

It is a super-2 number, since 2×54221648² = 5879974223671808, which contains 22 as substring.

Its product of digits (15360) is a multiple of the sum of its prime factors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54221641) 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, 536798 + ... + 536898.

It is an arithmetic number, because the mean of its divisors is an integer number (1494045).

Almost surely, 2^54221648 is an apocalyptic number.

54221648 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 54221648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59761800).

54221648 is an abundant number, since it is smaller than the sum of its proper divisors (65301952).

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

54221648 is a wasteful number, since it uses less digits than its factorization.

54221648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 234 counting only the distinct ones).

The product of its digits is 15360, while the sum is 32.

The square root of 54221648 is about 7363.5350206270. The cubic root of 54221648 is about 378.4927552802.

The spelling of 54221648 in words is "fifty-four million, two hundred twenty-one thousand, six hundred forty-eight".