57639920 has 80 divisors (see below), whose sum is σ = 151969440. Its totient is φ = 20155392.

The previous prime is 57639917. The next prime is 57639929. The reversal of 57639920 is 2993675.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57639929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18302 + ... + 21218.

It is an arithmetic number, because the mean of its divisors is an integer number (1899618).

Almost surely, 2^57639920 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 57639920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75984720).

57639920 is an abundant number, since it is smaller than the sum of its proper divisors (94329520).

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

57639920 is a wasteful number, since it uses less digits than its factorization.

57639920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2962 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 41.

The square root of 57639920 is about 7592.0958898054. The cubic root of 57639920 is about 386.2849516100.

The spelling of 57639920 in words is "fifty-seven million, six hundred thirty-nine thousand, nine hundred twenty".