54821520 has 120 divisors (see below), whose sum is σ = 198305016. Its totient is φ = 13492224.

The previous prime is 54821519. The next prime is 54821521. The reversal of 54821520 is 2512845.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (54821519) and next prime (54821521).

It can be written as a sum of positive squares in 4 ways, for example, as 8363664 + 46457856 = 2892^2 + 6816^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×54821520² = 6010798110220800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54821521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6432 + ... + 12288.

Almost surely, 2^54821520 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 54821520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99152508).

54821520 is an abundant number, since it is smaller than the sum of its proper divisors (143483496).

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

54821520 is a wasteful number, since it uses less digits than its factorization.

54821520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5889 (or 5880 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 54821520 is about 7404.1555899373. The cubic root of 54821520 is about 379.8834360855.

The spelling of 54821520 in words is "fifty-four million, eight hundred twenty-one thousand, five hundred twenty".