57066240 has 288 divisors, whose sum is σ = 228404736. Its totient is φ = 11796480.

The previous prime is 57066239. The next prime is 57066259. The reversal of 57066240 is 4266075.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 57066198 and 57066207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295584 + ... + 295776.

It is an arithmetic number, because the mean of its divisors is an integer number (793072).

Almost surely, 2^57066240 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 57066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114202368).

57066240 is an abundant number, since it is smaller than the sum of its proper divisors (171338496).

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

57066240 is a wasteful number, since it uses less digits than its factorization.

57066240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 57066240 is about 7554.2200126817. The cubic root of 57066240 is about 384.9991341972. Note that the first 3 decimals are identical.

The spelling of 57066240 in words is "fifty-seven million, sixty-six thousand, two hundred forty".