57246240 has 96 divisors (see below), whose sum is σ = 189846720. Its totient is φ = 14459904.

The previous prime is 57246239. The next prime is 57246251. The reversal of 57246240 is 4264275.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 57246198 and 57246207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5982 + ... + 12258.

It is an arithmetic number, because the mean of its divisors is an integer number (1977570).

Almost surely, 2^57246240 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 57246240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94923360).

57246240 is an abundant number, since it is smaller than the sum of its proper divisors (132600480).

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

57246240 is a wasteful number, since it uses less digits than its factorization.

57246240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6314 (or 6306 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 57246240 is about 7566.1245033372. The cubic root of 57246240 is about 385.4035011752.

The spelling of 57246240 in words is "fifty-seven million, two hundred forty-six thousand, two hundred forty".