54871740 has 288 divisors, whose sum is σ = 215115264. Its totient is φ = 10990080.

The previous prime is 54871723. The next prime is 54871759. The reversal of 54871740 is 4717845.

54871740 = T₁₅₃ + T₁₅₄ + ... + T₆₉₂.

54871740 is a `hidden beast` number, since 5 + 487 + 174 + 0 = 666.

54871740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 54871695 and 54871704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 512767 + ... + 512873.

It is an arithmetic number, because the mean of its divisors is an integer number (746928).

Almost surely, 2^54871740 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 54871740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107557632).

54871740 is an abundant number, since it is smaller than the sum of its proper divisors (160243524).

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

54871740 is a wasteful number, since it uses less digits than its factorization.

54871740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 54871740 is about 7407.5461524043. The cubic root of 54871740 is about 379.9993998144. Note that the first 3 decimals are identical.

It can be divided in two parts, 54871 and 740, that added together give a triangular number (55611 = T₃₃₃).

The spelling of 54871740 in words is "fifty-four million, eight hundred seventy-one thousand, seven hundred forty".