54545040 has 240 divisors, whose sum is σ = 204736896. Its totient is φ = 12902400.

The previous prime is 54545033. The next prime is 54545077. The reversal of 54545040 is 4054545.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×54545040² = 5950322777203200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54544995 and 54545013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 562272 + ... + 562368.

Almost surely, 2^54545040 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 54545040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102368448).

54545040 is an abundant number, since it is smaller than the sum of its proper divisors (150191856).

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

54545040 is a wasteful number, since it uses less digits than its factorization.

54545040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 54545040 is about 7385.4613938467. The cubic root of 54545040 is about 379.2437406148.

Adding to 54545040 its reverse (4054545), we get a palindrome (58599585).

It can be divided in two parts, 545450 and 40, that added together give a triangular number (545490 = T₁₀₄₄).

The spelling of 54545040 in words is "fifty-four million, five hundred forty-five thousand, forty".