57201840 has 120 divisors (see below), whose sum is σ = 195858000. Its totient is φ = 14956032.

The previous prime is 57201839. The next prime is 57201841. The reversal of 57201840 is 4810275.

It is an interprime number because it is at equal distance from previous prime (57201839) and next prime (57201841).

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

It is not an unprimeable number, because it can be changed into a prime (57201841) 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, 37411 + ... + 38909.

It is an arithmetic number, because the mean of its divisors is an integer number (1632150).

Almost surely, 2^57201840 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 57201840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97929000).

57201840 is an abundant number, since it is smaller than the sum of its proper divisors (138656160).

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

57201840 is a wasteful number, since it uses less digits than its factorization.

57201840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 57201840 is about 7563.1898032510. The cubic root of 57201840 is about 385.3038361646.

The spelling of 57201840 in words is "fifty-seven million, two hundred one thousand, eight hundred forty".